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Finding the Third Proportional to 83,189 and 180,392

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Solution

The third proportional to 83,189 and 180,392 is: 391,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189 : 180,392 = 180,392 : x
  2. Step 2: Convert to fraction form
    83,189/180,392 = 180,392/x
  3. Step 3: Cross multiply
    83,189x = 180,392 × 180,392
  4. Step 4: Simplify right side
    83,189x = 32,541,273,664
  5. Step 5: Solve for x
    x = 32,541,273,664/83,189
  6. Step 6: Final answer
    x = 391,172.80

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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.