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Finding the Third Proportional to 103,806 and 225,837

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Solution

The third proportional to 103,806 and 225,837 is: 491,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806 : 225,837 = 225,837 : x
  2. Step 2: Convert to fraction form
    103,806/225,837 = 225,837/x
  3. Step 3: Cross multiply
    103,806x = 225,837 × 225,837
  4. Step 4: Simplify right side
    103,806x = 51,002,350,569
  5. Step 5: Solve for x
    x = 51,002,350,569/103,806
  6. Step 6: Final answer
    x = 491,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.