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Finding the Third Proportional to 111.48 and 239.94

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Solution

The third proportional to 111.48 and 239.94 is: 516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 239.94 = 239.94 : x
  2. Step 2: Convert to fraction form
    111.48/239.94 = 239.94/x
  3. Step 3: Cross multiply
    111.48x = 239.94 × 239.94
  4. Step 4: Simplify right side
    111.48x = 57,571.88
  5. Step 5: Solve for x
    x = 57,571.88/111.48
  6. Step 6: Final answer
    x = 516.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.