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Finding the Third Proportional to 80.89 and 173.18

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Solution

The third proportional to 80.89 and 173.18 is: 370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.89 : 173.18 = 173.18 : x
  2. Step 2: Convert to fraction form
    80.89/173.18 = 173.18/x
  3. Step 3: Cross multiply
    80.89x = 173.18 × 173.18
  4. Step 4: Simplify right side
    80.89x = 29,991.20
  5. Step 5: Solve for x
    x = 29,991.20/80.89
  6. Step 6: Final answer
    x = 370.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.