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Finding the Third Proportional to 204,578 and 247,225

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Solution

The third proportional to 204,578 and 247,225 is: 298,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,578 : 247,225 = 247,225 : x
  2. Step 2: Convert to fraction form
    204,578/247,225 = 247,225/x
  3. Step 3: Cross multiply
    204,578x = 247,225 × 247,225
  4. Step 4: Simplify right side
    204,578x = 61,120,200,625
  5. Step 5: Solve for x
    x = 61,120,200,625/204,578
  6. Step 6: Final answer
    x = 298,762.33

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.