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Finding the Third Proportional to 250,242 and 521,193

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Solution

The third proportional to 250,242 and 521,193 is: 1,085,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,242 : 521,193 = 521,193 : x
  2. Step 2: Convert to fraction form
    250,242/521,193 = 521,193/x
  3. Step 3: Cross multiply
    250,242x = 521,193 × 521,193
  4. Step 4: Simplify right side
    250,242x = 271,642,143,249
  5. Step 5: Solve for x
    x = 271,642,143,249/250,242
  6. Step 6: Final answer
    x = 1,085,517.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.