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Finding the Third Proportional to 165,524 and 256,764

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Solution

The third proportional to 165,524 and 256,764 is: 398,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,524 : 256,764 = 256,764 : x
  2. Step 2: Convert to fraction form
    165,524/256,764 = 256,764/x
  3. Step 3: Cross multiply
    165,524x = 256,764 × 256,764
  4. Step 4: Simplify right side
    165,524x = 65,927,751,696
  5. Step 5: Solve for x
    x = 65,927,751,696/165,524
  6. Step 6: Final answer
    x = 398,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.