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Finding the Third Proportional to 80.91 and 174.47

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Solution

The third proportional to 80.91 and 174.47 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.91 : 174.47 = 174.47 : x
  2. Step 2: Convert to fraction form
    80.91/174.47 = 174.47/x
  3. Step 3: Cross multiply
    80.91x = 174.47 × 174.47
  4. Step 4: Simplify right side
    80.91x = 30,439.34
  5. Step 5: Solve for x
    x = 30,439.34/80.91
  6. Step 6: Final answer
    x = 376.23

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