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Finding the Third Proportional to 80 and 185.88

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Solution

The third proportional to 80 and 185.88 is: 431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80 : 185.88 = 185.88 : x
  2. Step 2: Convert to fraction form
    80/185.88 = 185.88/x
  3. Step 3: Cross multiply
    80x = 185.88 × 185.88
  4. Step 4: Simplify right side
    80x = 34,549.52
  5. Step 5: Solve for x
    x = 34,549.52/80
  6. Step 6: Final answer
    x = 431.87

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.