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Finding the Third Proportional to 92,332 and 217,839

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Solution

The third proportional to 92,332 and 217,839 is: 513,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,332 : 217,839 = 217,839 : x
  2. Step 2: Convert to fraction form
    92,332/217,839 = 217,839/x
  3. Step 3: Cross multiply
    92,332x = 217,839 × 217,839
  4. Step 4: Simplify right side
    92,332x = 47,453,829,921
  5. Step 5: Solve for x
    x = 47,453,829,921/92,332
  6. Step 6: Final answer
    x = 513,947.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.