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Finding the Third Proportional to 92,624 and 202,374

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Solution

The third proportional to 92,624 and 202,374 is: 442,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,624 : 202,374 = 202,374 : x
  2. Step 2: Convert to fraction form
    92,624/202,374 = 202,374/x
  3. Step 3: Cross multiply
    92,624x = 202,374 × 202,374
  4. Step 4: Simplify right side
    92,624x = 40,955,235,876
  5. Step 5: Solve for x
    x = 40,955,235,876/92,624
  6. Step 6: Final answer
    x = 442,166.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.