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Finding the Third Proportional to 80.96 and 174.80

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Solution

The third proportional to 80.96 and 174.80 is: 377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.96 : 174.80 = 174.80 : x
  2. Step 2: Convert to fraction form
    80.96/174.80 = 174.80/x
  3. Step 3: Cross multiply
    80.96x = 174.80 × 174.80
  4. Step 4: Simplify right side
    80.96x = 30,553.95
  5. Step 5: Solve for x
    x = 30,553.95/80.96
  6. Step 6: Final answer
    x = 377.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.