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Finding the Third Proportional to 87,755 and 206,950

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Solution

The third proportional to 87,755 and 206,950 is: 488,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,755 : 206,950 = 206,950 : x
  2. Step 2: Convert to fraction form
    87,755/206,950 = 206,950/x
  3. Step 3: Cross multiply
    87,755x = 206,950 × 206,950
  4. Step 4: Simplify right side
    87,755x = 42,828,302,500
  5. Step 5: Solve for x
    x = 42,828,302,500/87,755
  6. Step 6: Final answer
    x = 488,044.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.