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Finding the Third Proportional to 181,234 and 275,847

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Solution

The third proportional to 181,234 and 275,847 is: 419,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,234 : 275,847 = 275,847 : x
  2. Step 2: Convert to fraction form
    181,234/275,847 = 275,847/x
  3. Step 3: Cross multiply
    181,234x = 275,847 × 275,847
  4. Step 4: Simplify right side
    181,234x = 76,091,567,409
  5. Step 5: Solve for x
    x = 76,091,567,409/181,234
  6. Step 6: Final answer
    x = 419,852.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.