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Finding the Third Proportional to 248,568 and 394,225

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Solution

The third proportional to 248,568 and 394,225 is: 625,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,568 : 394,225 = 394,225 : x
  2. Step 2: Convert to fraction form
    248,568/394,225 = 394,225/x
  3. Step 3: Cross multiply
    248,568x = 394,225 × 394,225
  4. Step 4: Simplify right side
    248,568x = 155,413,350,625
  5. Step 5: Solve for x
    x = 155,413,350,625/248,568
  6. Step 6: Final answer
    x = 625,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.