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Finding the Third Proportional to 138.38 and 209.44

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Solution

The third proportional to 138.38 and 209.44 is: 316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 209.44 = 209.44 : x
  2. Step 2: Convert to fraction form
    138.38/209.44 = 209.44/x
  3. Step 3: Cross multiply
    138.38x = 209.44 × 209.44
  4. Step 4: Simplify right side
    138.38x = 43,864.07
  5. Step 5: Solve for x
    x = 43,864.07/138.38
  6. Step 6: Final answer
    x = 316.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.