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Finding the Third Proportional to 103,669 and 225,775

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Solution

The third proportional to 103,669 and 225,775 is: 491,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 225,775 = 225,775 : x
  2. Step 2: Convert to fraction form
    103,669/225,775 = 225,775/x
  3. Step 3: Cross multiply
    103,669x = 225,775 × 225,775
  4. Step 4: Simplify right side
    103,669x = 50,974,350,625
  5. Step 5: Solve for x
    x = 50,974,350,625/103,669
  6. Step 6: Final answer
    x = 491,702.93

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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.