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Finding the Third Proportional to 225,751 and 331,883

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Solution

The third proportional to 225,751 and 331,883 is: 487,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,751 : 331,883 = 331,883 : x
  2. Step 2: Convert to fraction form
    225,751/331,883 = 331,883/x
  3. Step 3: Cross multiply
    225,751x = 331,883 × 331,883
  4. Step 4: Simplify right side
    225,751x = 110,146,325,689
  5. Step 5: Solve for x
    x = 110,146,325,689/225,751
  6. Step 6: Final answer
    x = 487,910.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.