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Finding the Third Proportional to 110.39 and 231.89

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Solution

The third proportional to 110.39 and 231.89 is: 487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.39 : 231.89 = 231.89 : x
  2. Step 2: Convert to fraction form
    110.39/231.89 = 231.89/x
  3. Step 3: Cross multiply
    110.39x = 231.89 × 231.89
  4. Step 4: Simplify right side
    110.39x = 53,773.26
  5. Step 5: Solve for x
    x = 53,773.26/110.39
  6. Step 6: Final answer
    x = 487.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.