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Finding the Third Proportional to 201,876 and 313,474

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Solution

The third proportional to 201,876 and 313,474 is: 486,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,876 : 313,474 = 313,474 : x
  2. Step 2: Convert to fraction form
    201,876/313,474 = 313,474/x
  3. Step 3: Cross multiply
    201,876x = 313,474 × 313,474
  4. Step 4: Simplify right side
    201,876x = 98,265,948,676
  5. Step 5: Solve for x
    x = 98,265,948,676/201,876
  6. Step 6: Final answer
    x = 486,763.90

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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.