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Finding the Third Proportional to 83,567 and 182,378

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Solution

The third proportional to 83,567 and 182,378 is: 398,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,567 : 182,378 = 182,378 : x
  2. Step 2: Convert to fraction form
    83,567/182,378 = 182,378/x
  3. Step 3: Cross multiply
    83,567x = 182,378 × 182,378
  4. Step 4: Simplify right side
    83,567x = 33,261,734,884
  5. Step 5: Solve for x
    x = 33,261,734,884/83,567
  6. Step 6: Final answer
    x = 398,024.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.