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Finding the Third Proportional to 104,376 and 225,375

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Solution

The third proportional to 104,376 and 225,375 is: 486,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,376 : 225,375 = 225,375 : x
  2. Step 2: Convert to fraction form
    104,376/225,375 = 225,375/x
  3. Step 3: Cross multiply
    104,376x = 225,375 × 225,375
  4. Step 4: Simplify right side
    104,376x = 50,793,890,625
  5. Step 5: Solve for x
    x = 50,793,890,625/104,376
  6. Step 6: Final answer
    x = 486,643.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.