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Finding the Third Proportional to 331.31 and 467.06

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Solution

The third proportional to 331.31 and 467.06 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 467.06 = 467.06 : x
  2. Step 2: Convert to fraction form
    331.31/467.06 = 467.06/x
  3. Step 3: Cross multiply
    331.31x = 467.06 × 467.06
  4. Step 4: Simplify right side
    331.31x = 218,147.38
  5. Step 5: Solve for x
    x = 218,147.38/331.31
  6. Step 6: Final answer
    x = 658.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.