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Finding the Third Proportional to 138.06 and 213.88

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Solution

The third proportional to 138.06 and 213.88 is: 331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 213.88 = 213.88 : x
  2. Step 2: Convert to fraction form
    138.06/213.88 = 213.88/x
  3. Step 3: Cross multiply
    138.06x = 213.88 × 213.88
  4. Step 4: Simplify right side
    138.06x = 45,742.52
  5. Step 5: Solve for x
    x = 45,742.52/138.06
  6. Step 6: Final answer
    x = 331.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.