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Finding the Third Proportional to 138.16 and 207.59

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Solution

The third proportional to 138.16 and 207.59 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 207.59 = 207.59 : x
  2. Step 2: Convert to fraction form
    138.16/207.59 = 207.59/x
  3. Step 3: Cross multiply
    138.16x = 207.59 × 207.59
  4. Step 4: Simplify right side
    138.16x = 43,091.92
  5. Step 5: Solve for x
    x = 43,091.92/138.16
  6. Step 6: Final answer
    x = 311.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.