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Finding the Third Proportional to 226,354.50 and 331,512.75

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Solution

The third proportional to 226,354.50 and 331,512.75 is: 485,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,354.50 : 331,512.75 = 331,512.75 : x
  2. Step 2: Convert to fraction form
    226,354.50/331,512.75 = 331,512.75/x
  3. Step 3: Cross multiply
    226,354.50x = 331,512.75 × 331,512.75
  4. Step 4: Simplify right side
    226,354.50x = 109,900,703,412.56
  5. Step 5: Solve for x
    x = 109,900,703,412.56/226,354.50
  6. Step 6: Final answer
    x = 485,524.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.