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" The equation ad = be gives a — -£, b = — ; so that an d с extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean. "
A School Algebra - Page 295
by George Albert Wentworth - 1891 - 362 pages
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...second by the third and dividing their product by the first. For it is plain (174) the fourth term may be found by dividing the product of the extremes by the first term. But this product is the same as the prod net of the means. Then the fourth term may also...
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...—, d=—, b= — , and c= — ; due o and therefore either of the extreme terms of the proportion may be found by dividing the product of the means by the other extreme ; and either of the means may be found by dividing the product of the extremes by the other mean. 387- In...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...because 24 X 3 = 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 ;...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...because 24 X 3 = 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 ;...
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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...because 24 X 3 = 72; 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 ;...
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The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854 - 336 pages
...6:9 = 8:a>, then 8 v Q 8x9 = 6x*, and we find *= x =12. .'.6:9 = 8:12. Then « one of the extremes is found by dividing the product of the means by the other extreme, and one of the means is found by dividing the product of the extremes by the other mean. 346 Now, the four...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...of the extremes 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....
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...24 X 3 = 72; 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 ;...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...of the extremes 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....
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 472 pages
...of the extremes 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....
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