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Finding the Third Proportional to 138.38 and 213.47

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Solution

The third proportional to 138.38 and 213.47 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 213.47 = 213.47 : x
  2. Step 2: Convert to fraction form
    138.38/213.47 = 213.47/x
  3. Step 3: Cross multiply
    138.38x = 213.47 × 213.47
  4. Step 4: Simplify right side
    138.38x = 45,568.91
  5. Step 5: Solve for x
    x = 45,568.91/138.38
  6. Step 6: Final answer
    x = 329.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.