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There are a number of ways to think about this when coming to the solution. Finding the solution has the same math, regardless of how you think about it.

Imagine a line, starting at (0,2.2) and running through the point (1,8.5)

solving the equation of this line gives y = 6.3*x + 2.2

When x = 0, y = 2.2 (the first number), and when x = 1, y = 8.5 (the 2nd num)

So one-third of the way between x =0 and x =1, is x = 1/3

plugging x = 1/3 into the equation, results in y = 4.3

So, 4.3 is one-third the way between 2.2 and 8.5

While this may seem complicated, if you learn how to do this, then you can figure out several types of problems.

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Q: Which number is one-third of the way between 2.2 and 8.5?
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