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Finding the Third Proportional to 231,729.75 and 350,863.88

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Solution

The third proportional to 231,729.75 and 350,863.88 is: 531,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,729.75 : 350,863.88 = 350,863.88 : x
  2. Step 2: Convert to fraction form
    231,729.75/350,863.88 = 350,863.88/x
  3. Step 3: Cross multiply
    231,729.75x = 350,863.88 × 350,863.88
  4. Step 4: Simplify right side
    231,729.75x = 123,105,458,780.02
  5. Step 5: Solve for x
    x = 123,105,458,780.02/231,729.75
  6. Step 6: Final answer
    x = 531,245.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.