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Finding the Third Proportional to 83,182 and 180,378

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Solution

The third proportional to 83,182 and 180,378 is: 391,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,182 : 180,378 = 180,378 : x
  2. Step 2: Convert to fraction form
    83,182/180,378 = 180,378/x
  3. Step 3: Cross multiply
    83,182x = 180,378 × 180,378
  4. Step 4: Simplify right side
    83,182x = 32,536,222,884
  5. Step 5: Solve for x
    x = 32,536,222,884/83,182
  6. Step 6: Final answer
    x = 391,144.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.