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Finding the Third Proportional to 214,000 and 451,876

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Solution

The third proportional to 214,000 and 451,876 is: 954,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,000 : 451,876 = 451,876 : x
  2. Step 2: Convert to fraction form
    214,000/451,876 = 451,876/x
  3. Step 3: Cross multiply
    214,000x = 451,876 × 451,876
  4. Step 4: Simplify right side
    214,000x = 204,191,919,376
  5. Step 5: Solve for x
    x = 204,191,919,376/214,000
  6. Step 6: Final answer
    x = 954,167.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.