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Finding the Third Proportional to 83,366 and 182,542

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Solution

The third proportional to 83,366 and 182,542 is: 399,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,366 : 182,542 = 182,542 : x
  2. Step 2: Convert to fraction form
    83,366/182,542 = 182,542/x
  3. Step 3: Cross multiply
    83,366x = 182,542 × 182,542
  4. Step 4: Simplify right side
    83,366x = 33,321,581,764
  5. Step 5: Solve for x
    x = 33,321,581,764/83,366
  6. Step 6: Final answer
    x = 399,702.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.