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Finding the Third Proportional to 83,379 and 182,568

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Solution

The third proportional to 83,379 and 182,568 is: 399,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379 : 182,568 = 182,568 : x
  2. Step 2: Convert to fraction form
    83,379/182,568 = 182,568/x
  3. Step 3: Cross multiply
    83,379x = 182,568 × 182,568
  4. Step 4: Simplify right side
    83,379x = 33,331,074,624
  5. Step 5: Solve for x
    x = 33,331,074,624/83,379
  6. Step 6: Final answer
    x = 399,753.83

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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.