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Finding the Third Proportional to 181,867 and 394,838

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Solution

The third proportional to 181,867 and 394,838 is: 857,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,867 : 394,838 = 394,838 : x
  2. Step 2: Convert to fraction form
    181,867/394,838 = 394,838/x
  3. Step 3: Cross multiply
    181,867x = 394,838 × 394,838
  4. Step 4: Simplify right side
    181,867x = 155,897,046,244
  5. Step 5: Solve for x
    x = 155,897,046,244/181,867
  6. Step 6: Final answer
    x = 857,203.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.