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Finding the Third Proportional to 155,251.69 and 231,234.75

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Solution

The third proportional to 155,251.69 and 231,234.75 is: 344,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,251.69 : 231,234.75 = 231,234.75 : x
  2. Step 2: Convert to fraction form
    155,251.69/231,234.75 = 231,234.75/x
  3. Step 3: Cross multiply
    155,251.69x = 231,234.75 × 231,234.75
  4. Step 4: Simplify right side
    155,251.69x = 53,469,509,607.56
  5. Step 5: Solve for x
    x = 53,469,509,607.56/155,251.69
  6. Step 6: Final answer
    x = 344,405.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.