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Finding the Third Proportional to 172,104.75 and 231,882.75

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Solution

The third proportional to 172,104.75 and 231,882.75 is: 312,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,104.75 : 231,882.75 = 231,882.75 : x
  2. Step 2: Convert to fraction form
    172,104.75/231,882.75 = 231,882.75/x
  3. Step 3: Cross multiply
    172,104.75x = 231,882.75 × 231,882.75
  4. Step 4: Simplify right side
    172,104.75x = 53,769,609,747.56
  5. Step 5: Solve for x
    x = 53,769,609,747.56/172,104.75
  6. Step 6: Final answer
    x = 312,423.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.