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Finding the Third Proportional to 181,252 and 275,718

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Solution

The third proportional to 181,252 and 275,718 is: 419,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,252 : 275,718 = 275,718 : x
  2. Step 2: Convert to fraction form
    181,252/275,718 = 275,718/x
  3. Step 3: Cross multiply
    181,252x = 275,718 × 275,718
  4. Step 4: Simplify right side
    181,252x = 76,020,415,524
  5. Step 5: Solve for x
    x = 76,020,415,524/181,252
  6. Step 6: Final answer
    x = 419,418.35

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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.