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Finding the Third Proportional to 80.88 and 170.88

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Solution

The third proportional to 80.88 and 170.88 is: 361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.88 : 170.88 = 170.88 : x
  2. Step 2: Convert to fraction form
    80.88/170.88 = 170.88/x
  3. Step 3: Cross multiply
    80.88x = 170.88 × 170.88
  4. Step 4: Simplify right side
    80.88x = 29,198.27
  5. Step 5: Solve for x
    x = 29,198.27/80.88
  6. Step 6: Final answer
    x = 361.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.