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Finding the Third Proportional to 81.74 and 176.24

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Solution

The third proportional to 81.74 and 176.24 is: 379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.74 : 176.24 = 176.24 : x
  2. Step 2: Convert to fraction form
    81.74/176.24 = 176.24/x
  3. Step 3: Cross multiply
    81.74x = 176.24 × 176.24
  4. Step 4: Simplify right side
    81.74x = 31,059.93
  5. Step 5: Solve for x
    x = 31,059.93/81.74
  6. Step 6: Final answer
    x = 379.99

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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.