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Finding the Third Proportional to 138.25 and 246.69

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Solution

The third proportional to 138.25 and 246.69 is: 440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.25 : 246.69 = 246.69 : x
  2. Step 2: Convert to fraction form
    138.25/246.69 = 246.69/x
  3. Step 3: Cross multiply
    138.25x = 246.69 × 246.69
  4. Step 4: Simplify right side
    138.25x = 60,854.72
  5. Step 5: Solve for x
    x = 60,854.72/138.25
  6. Step 6: Final answer
    x = 440.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.