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Finding the Third Proportional to 171,441 and 394,292

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Solution

The third proportional to 171,441 and 394,292 is: 906,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,441 : 394,292 = 394,292 : x
  2. Step 2: Convert to fraction form
    171,441/394,292 = 394,292/x
  3. Step 3: Cross multiply
    171,441x = 394,292 × 394,292
  4. Step 4: Simplify right side
    171,441x = 155,466,181,264
  5. Step 5: Solve for x
    x = 155,466,181,264/171,441
  6. Step 6: Final answer
    x = 906,820.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.