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Finding the Third Proportional to 181,236 and 275,850

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Solution

The third proportional to 181,236 and 275,850 is: 419,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,236 : 275,850 = 275,850 : x
  2. Step 2: Convert to fraction form
    181,236/275,850 = 275,850/x
  3. Step 3: Cross multiply
    181,236x = 275,850 × 275,850
  4. Step 4: Simplify right side
    181,236x = 76,093,222,500
  5. Step 5: Solve for x
    x = 76,093,222,500/181,236
  6. Step 6: Final answer
    x = 419,857.11

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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.