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Finding the Third Proportional to 140.96 and 226.39

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Solution

The third proportional to 140.96 and 226.39 is: 363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 226.39 = 226.39 : x
  2. Step 2: Convert to fraction form
    140.96/226.39 = 226.39/x
  3. Step 3: Cross multiply
    140.96x = 226.39 × 226.39
  4. Step 4: Simplify right side
    140.96x = 51,251.83
  5. Step 5: Solve for x
    x = 51,251.83/140.96
  6. Step 6: Final answer
    x = 363.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.