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Finding the Third Proportional to 225,757 and 331,892

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Solution

The third proportional to 225,757 and 331,892 is: 487,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,757 : 331,892 = 331,892 : x
  2. Step 2: Convert to fraction form
    225,757/331,892 = 331,892/x
  3. Step 3: Cross multiply
    225,757x = 331,892 × 331,892
  4. Step 4: Simplify right side
    225,757x = 110,152,299,664
  5. Step 5: Solve for x
    x = 110,152,299,664/225,757
  6. Step 6: Final answer
    x = 487,924.18

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