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Finding the Third Proportional to 133.31 and 179.16

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Solution

The third proportional to 133.31 and 179.16 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 179.16 = 179.16 : x
  2. Step 2: Convert to fraction form
    133.31/179.16 = 179.16/x
  3. Step 3: Cross multiply
    133.31x = 179.16 × 179.16
  4. Step 4: Simplify right side
    133.31x = 32,096.96
  5. Step 5: Solve for x
    x = 32,096.96/133.31
  6. Step 6: Final answer
    x = 240.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.