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Finding the Third Proportional to 71,332.69 and 168,694.13

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Solution

The third proportional to 71,332.69 and 168,694.13 is: 398,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332.69 : 168,694.13 = 168,694.13 : x
  2. Step 2: Convert to fraction form
    71,332.69/168,694.13 = 168,694.13/x
  3. Step 3: Cross multiply
    71,332.69x = 168,694.13 × 168,694.13
  4. Step 4: Simplify right side
    71,332.69x = 28,457,707,809.52
  5. Step 5: Solve for x
    x = 28,457,707,809.52/71,332.69
  6. Step 6: Final answer
    x = 398,943.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.