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Finding the Third Proportional to 230.81 and 249.38

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Solution

The third proportional to 230.81 and 249.38 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 249.38 = 249.38 : x
  2. Step 2: Convert to fraction form
    230.81/249.38 = 249.38/x
  3. Step 3: Cross multiply
    230.81x = 249.38 × 249.38
  4. Step 4: Simplify right side
    230.81x = 62,187.89
  5. Step 5: Solve for x
    x = 62,187.89/230.81
  6. Step 6: Final answer
    x = 269.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.