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Finding the Third Proportional to 83,561 and 182,366

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Solution

The third proportional to 83,561 and 182,366 is: 398,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,561 : 182,366 = 182,366 : x
  2. Step 2: Convert to fraction form
    83,561/182,366 = 182,366/x
  3. Step 3: Cross multiply
    83,561x = 182,366 × 182,366
  4. Step 4: Simplify right side
    83,561x = 33,257,357,956
  5. Step 5: Solve for x
    x = 33,257,357,956/83,561
  6. Step 6: Final answer
    x = 398,000.96

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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.