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Finding the Third Proportional to 132,727 and 291,698

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Solution

The third proportional to 132,727 and 291,698 is: 641,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,727 : 291,698 = 291,698 : x
  2. Step 2: Convert to fraction form
    132,727/291,698 = 291,698/x
  3. Step 3: Cross multiply
    132,727x = 291,698 × 291,698
  4. Step 4: Simplify right side
    132,727x = 85,087,723,204
  5. Step 5: Solve for x
    x = 85,087,723,204/132,727
  6. Step 6: Final answer
    x = 641,073.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.