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Finding the Third Proportional to 83,624 and 180,208

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Solution

The third proportional to 83,624 and 180,208 is: 388,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624 : 180,208 = 180,208 : x
  2. Step 2: Convert to fraction form
    83,624/180,208 = 180,208/x
  3. Step 3: Cross multiply
    83,624x = 180,208 × 180,208
  4. Step 4: Simplify right side
    83,624x = 32,474,923,264
  5. Step 5: Solve for x
    x = 32,474,923,264/83,624
  6. Step 6: Final answer
    x = 388,344.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.