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Finding the Third Proportional to 138.28 and 207.09

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Solution

The third proportional to 138.28 and 207.09 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.28 : 207.09 = 207.09 : x
  2. Step 2: Convert to fraction form
    138.28/207.09 = 207.09/x
  3. Step 3: Cross multiply
    138.28x = 207.09 × 207.09
  4. Step 4: Simplify right side
    138.28x = 42,887.82
  5. Step 5: Solve for x
    x = 42,887.82/138.28
  6. Step 6: Final answer
    x = 310.15

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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.