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Finding the Third Proportional to 181,848 and 394,800

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Solution

The third proportional to 181,848 and 394,800 is: 857,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,848 : 394,800 = 394,800 : x
  2. Step 2: Convert to fraction form
    181,848/394,800 = 394,800/x
  3. Step 3: Cross multiply
    181,848x = 394,800 × 394,800
  4. Step 4: Simplify right side
    181,848x = 155,867,040,000
  5. Step 5: Solve for x
    x = 155,867,040,000/181,848
  6. Step 6: Final answer
    x = 857,128.15

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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.