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" If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if... "
Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ... - Page 181
by John Mair - 1772
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 436 pages
...extremes is equal to the product of the means ; and any pair of equidistant means may be esteemed the middle terms. COROLLARIES. 1. Hence, to an extreme...extreme. Thus to 4 : 8 : 16, the fourth proportional ia 32; for 8X16=128, and 4)128(32; so 4 : 8 : 16 : 32. And this takes place though the proportion be...
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The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - Education - 1840 - 328 pages
...mean, the quotient will be- the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4:6=*:18. No. 2....
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The School and the Schoolmaster: A Manual for the Use of Teachers, Employers ...

Alonzo Potter, George Barrell Emerson - Education - 1842 - 586 pages
...mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=0;: 18. No....
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...72; and 72-^6= 12. ART. 246. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128; and...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...given, the fourth may be found. For, if the means and one extreme be given, the other extreme will be found by dividing the product of the means by the given extreme. Or, if the extremes and one mean be given, the other mean will bo found by dividing the product of...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...72; and 72 ^6= 12. ART. 246. If the means and one of ike extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128; and...
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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...and 72 -=-6= 12. ART. 346. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128; and...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...and 72 -r- 6 = 12. AKT. 243. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X 8 = 128;...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...by the given mean ; or, 2. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. SIMPLE PROPORTION. 337. Simple Proportion is an equality between two simple ratios. NOTE. — Simple...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...by the given mean ; or, 2. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. SIMPLE PROPORTION. 337. Simple Proportion is an equality between two simple ratios. NOTE. — Simple...
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