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Finding the Third Proportional to 109,392 and 226,375

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Solution

The third proportional to 109,392 and 226,375 is: 468,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,392 : 226,375 = 226,375 : x
  2. Step 2: Convert to fraction form
    109,392/226,375 = 226,375/x
  3. Step 3: Cross multiply
    109,392x = 226,375 × 226,375
  4. Step 4: Simplify right side
    109,392x = 51,245,640,625
  5. Step 5: Solve for x
    x = 51,245,640,625/109,392
  6. Step 6: Final answer
    x = 468,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.