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" The first and last terms of a proportion are called the extremes ; the second and third terms are called the means. In the proportion | = ££, we see that 7 x 15 = 3 x 35. "
Junior High School Mathematics: First [-third] Course - Page 154
by William Ledley Vosburgh, William Frederick Gentleman - 1919
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Progressive Arithmetic: Third Book, Book 3

William James Milne - Arithmetic - 1906 - 364 pages
...ratio of 4 to 6 is equal to the ratio of 8 to 12 " ; or more briefly, "4 is to 6 as 8 is to 12." 503. The first and last terms of a proportion are called the extremes, and the second and third terms the means. In 4 : 6 = 8 : 12, the extremes are 4 and 12 ; the means,...
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Progressive Arithmetic, Complete, Books 2-3

William James Milne - Arithmetic - 1907 - 616 pages
...ratio of 4 to 6 is equal to the ratio of 8 to 12 '; or more briefly, "4 is to 6 as 8 is to 12." 619. The first and last terms of a proportion are called the extremes, and the second and third terms the means. In 4 : 6 = 8 : 12, the extremes are 4 and 12; the means,...
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Practical Elementary Algebra

Joseph Victor Collins - Algebra - 1908 - 442 pages
...206. Definitions. The first term of a ratio is called the antecedent and the last term the consequent. The first and last terms of a proportion are called the extremes, and the second and third terms the means. If the second and third terms of a proportion are the same...
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First-year Mathematics for Secondary Schools

George William Myers - Mathematics - 1909 - 394 pages
...is it ? 12. Is 2:5=5:15 a proportion? Is 2:7=8:25 a proportion ? Give reasons for your answers. 96. The first and last terms of a proportion are called the extremes ; the second and third, the means. 1. Compare the product of the extremes with the product of the means in the proportion 2:5=6:15;...
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First-year Mathematics for Secondary Schools

George William Myers, William Rockwell Wickes, Ernst Rudolph Breslich, Ernest Leroy Caldwell, Harris Franklin MacNeish, Ernest August Wreidt - 1909 - 388 pages
...it ? 12. Is 2:5 = 5:15 a proportion? Is 2:7=8:25 a proportion ? Give reasons for your answers. 96. The first and last terms of a proportion are called the extremes ; the second and third, the means. 1. Compare the product of the extremes with the product of the means in the proportion 2:5=6:15;...
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A Practical Arithmetic

Frank Lincoln Stevens, Tait Butler, Adeline T. Chapman Stevens, Mrs. F. L. Stevens - Arithmetic - 1909 - 420 pages
...ratios. The proportion 2 : 4 : : 8 : 16, or 2 : 4 = 8 : 16, is read, 2 is to 4 as 8 is to 16. 434. The first and last terms of a proportion are called the Extremes, and the two middle terms are the Means. 435. When four numbers are in proportion, the product of the...
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The Gilbert Arithmetics, Book 2, Parts 1-2

Charles H. Gleason - Arithmetic - 1910 - 536 pages
...In this example, 12, 4, 18, and 6 are called the terms of the proportion. The first and fourth terms are called the extremes. The second and third terms are called the means. (Mean means "middle".) In the proportion 12 : 4 = 18 : 6, multiply the two extremes together. Multiply...
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New Graded Lessons in Arithmetic, Book 7

Wilbur Fisk Nichols - 1910 - 160 pages
...of each ratio. Name the consequent of each ratio. 5. In every proportion the first and fourth terms are called the extremes. The second and third terms are called the means. 6. 9: 3 = 12: 4. Name the extremes and means in this proportion. Multiply the extremes together. Multiply...
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For grades VII-VIII

Fletcher Durell, Elizabeth Hall - Arithmetic - 1912 - 404 pages
...to 3 equals the ratio of 8 to 12," etc. A proportion contains four terms. The first and last terms are called the extremes ; the second and third terms are called the means. 139. Useful Property of Proportions. In the proportion 2:5 = 4 : 10, the product of the means is 20,...
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A First Course in Algebra

Frederick Charles Kent - Algebra - 1913 - 292 pages
...fractional form, as — = — ; or, it may о а be written thus: a : b = с : à The first and fourth terms of a proportion are called the extremes; the second and third terms, the means. Thus, a and d are extremes, 6 and с means, in the above proportion. 150. Operations Allowable...
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