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Finding the Third Proportional to 181,847 and 394,798

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Solution

The third proportional to 181,847 and 394,798 is: 857,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,847 : 394,798 = 394,798 : x
  2. Step 2: Convert to fraction form
    181,847/394,798 = 394,798/x
  3. Step 3: Cross multiply
    181,847x = 394,798 × 394,798
  4. Step 4: Simplify right side
    181,847x = 155,865,460,804
  5. Step 5: Solve for x
    x = 155,865,460,804/181,847
  6. Step 6: Final answer
    x = 857,124.18

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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.