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Finding the Third Proportional to 87 and 209.88

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Solution

The third proportional to 87 and 209.88 is: 506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 209.88 = 209.88 : x
  2. Step 2: Convert to fraction form
    87/209.88 = 209.88/x
  3. Step 3: Cross multiply
    87x = 209.88 × 209.88
  4. Step 4: Simplify right side
    87x = 44,047.52
  5. Step 5: Solve for x
    x = 44,047.52/87
  6. Step 6: Final answer
    x = 506.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.