
When you ask "What number is halfway between 75 and 409?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=75 and Y=409.

To find the number halfway between 75 and 409, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 75 and 409 into our formula, we get:
(75 + 409)/2 = 242
Thus, the number halfway between 75 and 409 is 242.
To check that our answer is correct, we subtract 75 from 242 and subtract 242 from 409 and compare the two numbers:
242 - 75 = 167
409 - 242 = 167
As you can see, the halfway number is 167 higher than 75 and 167 lower than 409. Therefore, our halfway between answer of 242 above is correct.
Halfway Between
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Halfway Between 75 and 410
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