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Finding the Third Proportional to 80.52 and 173.17

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Solution

The third proportional to 80.52 and 173.17 is: 372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.52 : 173.17 = 173.17 : x
  2. Step 2: Convert to fraction form
    80.52/173.17 = 173.17/x
  3. Step 3: Cross multiply
    80.52x = 173.17 × 173.17
  4. Step 4: Simplify right side
    80.52x = 29,988.50
  5. Step 5: Solve for x
    x = 29,988.50/80.52
  6. Step 6: Final answer
    x = 372.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.