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Finding the Third Proportional to 80.81 and 176.81

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Solution

The third proportional to 80.81 and 176.81 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 176.81 = 176.81 : x
  2. Step 2: Convert to fraction form
    80.81/176.81 = 176.81/x
  3. Step 3: Cross multiply
    80.81x = 176.81 × 176.81
  4. Step 4: Simplify right side
    80.81x = 31,262.66
  5. Step 5: Solve for x
    x = 31,262.66/80.81
  6. Step 6: Final answer
    x = 386.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.