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Finding the Third Proportional to 111,404.75 and 231,988.75

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Solution

The third proportional to 111,404.75 and 231,988.75 is: 483,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,404.75 : 231,988.75 = 231,988.75 : x
  2. Step 2: Convert to fraction form
    111,404.75/231,988.75 = 231,988.75/x
  3. Step 3: Cross multiply
    111,404.75x = 231,988.75 × 231,988.75
  4. Step 4: Simplify right side
    111,404.75x = 53,818,780,126.56
  5. Step 5: Solve for x
    x = 53,818,780,126.56/111,404.75
  6. Step 6: Final answer
    x = 483,092.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.