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Finding the Third Proportional to 225,233.75 and 303,375

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Solution

The third proportional to 225,233.75 and 303,375 is: 408,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,233.75 : 303,375 = 303,375 : x
  2. Step 2: Convert to fraction form
    225,233.75/303,375 = 303,375/x
  3. Step 3: Cross multiply
    225,233.75x = 303,375 × 303,375
  4. Step 4: Simplify right side
    225,233.75x = 92,036,390,625
  5. Step 5: Solve for x
    x = 92,036,390,625/225,233.75
  6. Step 6: Final answer
    x = 408,626.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.