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Finding the Third Proportional to 83,331 and 180,873

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Solution

The third proportional to 83,331 and 180,873 is: 392,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,331 : 180,873 = 180,873 : x
  2. Step 2: Convert to fraction form
    83,331/180,873 = 180,873/x
  3. Step 3: Cross multiply
    83,331x = 180,873 × 180,873
  4. Step 4: Simplify right side
    83,331x = 32,715,042,129
  5. Step 5: Solve for x
    x = 32,715,042,129/83,331
  6. Step 6: Final answer
    x = 392,591.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.