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Finding the Third Proportional to 81.42 and 179.30

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Solution

The third proportional to 81.42 and 179.30 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 179.30 = 179.30 : x
  2. Step 2: Convert to fraction form
    81.42/179.30 = 179.30/x
  3. Step 3: Cross multiply
    81.42x = 179.30 × 179.30
  4. Step 4: Simplify right side
    81.42x = 32,147.37
  5. Step 5: Solve for x
    x = 32,147.37/81.42
  6. Step 6: Final answer
    x = 394.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.