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Finding the Third Proportional to 232,704 and 341,663

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Solution

The third proportional to 232,704 and 341,663 is: 501,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 341,663 = 341,663 : x
  2. Step 2: Convert to fraction form
    232,704/341,663 = 341,663/x
  3. Step 3: Cross multiply
    232,704x = 341,663 × 341,663
  4. Step 4: Simplify right side
    232,704x = 116,733,605,569
  5. Step 5: Solve for x
    x = 116,733,605,569/232,704
  6. Step 6: Final answer
    x = 501,639.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.