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Finding the Third Proportional to 171,758 and 252,663

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Solution

The third proportional to 171,758 and 252,663 is: 371,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,758 : 252,663 = 252,663 : x
  2. Step 2: Convert to fraction form
    171,758/252,663 = 252,663/x
  3. Step 3: Cross multiply
    171,758x = 252,663 × 252,663
  4. Step 4: Simplify right side
    171,758x = 63,838,591,569
  5. Step 5: Solve for x
    x = 63,838,591,569/171,758
  6. Step 6: Final answer
    x = 371,677.54

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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.