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Finding the Third Proportional to 203,375 and 475,092

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Solution

The third proportional to 203,375 and 475,092 is: 1,109,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,375 : 475,092 = 475,092 : x
  2. Step 2: Convert to fraction form
    203,375/475,092 = 475,092/x
  3. Step 3: Cross multiply
    203,375x = 475,092 × 475,092
  4. Step 4: Simplify right side
    203,375x = 225,712,408,464
  5. Step 5: Solve for x
    x = 225,712,408,464/203,375
  6. Step 6: Final answer
    x = 1,109,833.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.