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Finding the Third Proportional to 181,846 and 394,796

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Solution

The third proportional to 181,846 and 394,796 is: 857,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,846 : 394,796 = 394,796 : x
  2. Step 2: Convert to fraction form
    181,846/394,796 = 394,796/x
  3. Step 3: Cross multiply
    181,846x = 394,796 × 394,796
  4. Step 4: Simplify right side
    181,846x = 155,863,881,616
  5. Step 5: Solve for x
    x = 155,863,881,616/181,846
  6. Step 6: Final answer
    x = 857,120.21

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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.