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Finding the Third Proportional to 132,397 and 291,517

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Solution

The third proportional to 132,397 and 291,517 is: 641,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,397 : 291,517 = 291,517 : x
  2. Step 2: Convert to fraction form
    132,397/291,517 = 291,517/x
  3. Step 3: Cross multiply
    132,397x = 291,517 × 291,517
  4. Step 4: Simplify right side
    132,397x = 84,982,161,289
  5. Step 5: Solve for x
    x = 84,982,161,289/132,397
  6. Step 6: Final answer
    x = 641,873.77

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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.