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Finding the Third Proportional to 80.34 and 170.81

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Solution

The third proportional to 80.34 and 170.81 is: 363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 170.81 = 170.81 : x
  2. Step 2: Convert to fraction form
    80.34/170.81 = 170.81/x
  3. Step 3: Cross multiply
    80.34x = 170.81 × 170.81
  4. Step 4: Simplify right side
    80.34x = 29,176.91
  5. Step 5: Solve for x
    x = 29,176.91/80.34
  6. Step 6: Final answer
    x = 363.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.