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Finding the Third Proportional to 83,769 and 182,283

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Solution

The third proportional to 83,769 and 182,283 is: 396,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769 : 182,283 = 182,283 : x
  2. Step 2: Convert to fraction form
    83,769/182,283 = 182,283/x
  3. Step 3: Cross multiply
    83,769x = 182,283 × 182,283
  4. Step 4: Simplify right side
    83,769x = 33,227,092,089
  5. Step 5: Solve for x
    x = 33,227,092,089/83,769
  6. Step 6: Final answer
    x = 396,651.41

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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.