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Finding the Third Proportional to 83,788 and 182,317

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Solution

The third proportional to 83,788 and 182,317 is: 396,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,788 : 182,317 = 182,317 : x
  2. Step 2: Convert to fraction form
    83,788/182,317 = 182,317/x
  3. Step 3: Cross multiply
    83,788x = 182,317 × 182,317
  4. Step 4: Simplify right side
    83,788x = 33,239,488,489
  5. Step 5: Solve for x
    x = 33,239,488,489/83,788
  6. Step 6: Final answer
    x = 396,709.42

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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.