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Finding the Third Proportional to 136.27 and 217.27

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Solution

The third proportional to 136.27 and 217.27 is: 346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 217.27 = 217.27 : x
  2. Step 2: Convert to fraction form
    136.27/217.27 = 217.27/x
  3. Step 3: Cross multiply
    136.27x = 217.27 × 217.27
  4. Step 4: Simplify right side
    136.27x = 47,204.35
  5. Step 5: Solve for x
    x = 47,204.35/136.27
  6. Step 6: Final answer
    x = 346.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.