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Finding the Third Proportional to 159,937 and 344,478

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Solution

The third proportional to 159,937 and 344,478 is: 741,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,937 : 344,478 = 344,478 : x
  2. Step 2: Convert to fraction form
    159,937/344,478 = 344,478/x
  3. Step 3: Cross multiply
    159,937x = 344,478 × 344,478
  4. Step 4: Simplify right side
    159,937x = 118,665,092,484
  5. Step 5: Solve for x
    x = 118,665,092,484/159,937
  6. Step 6: Final answer
    x = 741,948.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.