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Finding the Third Proportional to 182,790 and 282,474

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Solution

The third proportional to 182,790 and 282,474 is: 436,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,790 : 282,474 = 282,474 : x
  2. Step 2: Convert to fraction form
    182,790/282,474 = 282,474/x
  3. Step 3: Cross multiply
    182,790x = 282,474 × 282,474
  4. Step 4: Simplify right side
    182,790x = 79,791,560,676
  5. Step 5: Solve for x
    x = 79,791,560,676/182,790
  6. Step 6: Final answer
    x = 436,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.