Choose a number related to given number in the same manner as the number in given pairs are related to each other 240 272 342 :?
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Given : 240 : 272 :: 342 : ?
To Find : Missing Number
Solution:
240 = 15² + 15
272 = 16² + 16
342 = 18² + 18
next number will be
19² + 19 = 380
Relation is
a² + a : (a + 1)² + (a + 1)
or it can be shown as
240 = 15 * 16
272 = 16 * 17
342 = 18 * 18
Hence next number will be
19 * 20 = 380
Relation is
a(a + 1) : (a + 1)(a + 2)
380 is the answer
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