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Finding the Third Proportional to 182,398 and 272,867

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Solution

The third proportional to 182,398 and 272,867 is: 408,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,398 : 272,867 = 272,867 : x
  2. Step 2: Convert to fraction form
    182,398/272,867 = 272,867/x
  3. Step 3: Cross multiply
    182,398x = 272,867 × 272,867
  4. Step 4: Simplify right side
    182,398x = 74,456,399,689
  5. Step 5: Solve for x
    x = 74,456,399,689/182,398
  6. Step 6: Final answer
    x = 408,208.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.