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Finding the Third Proportional to 142,774 and 296,876

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Solution

The third proportional to 142,774 and 296,876 is: 617,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774 : 296,876 = 296,876 : x
  2. Step 2: Convert to fraction form
    142,774/296,876 = 296,876/x
  3. Step 3: Cross multiply
    142,774x = 296,876 × 296,876
  4. Step 4: Simplify right side
    142,774x = 88,135,359,376
  5. Step 5: Solve for x
    x = 88,135,359,376/142,774
  6. Step 6: Final answer
    x = 617,306.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.