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Finding the Third Proportional to 158,859 and 223,876

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Solution

The third proportional to 158,859 and 223,876 is: 315,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,859 : 223,876 = 223,876 : x
  2. Step 2: Convert to fraction form
    158,859/223,876 = 223,876/x
  3. Step 3: Cross multiply
    158,859x = 223,876 × 223,876
  4. Step 4: Simplify right side
    158,859x = 50,120,463,376
  5. Step 5: Solve for x
    x = 50,120,463,376/158,859
  6. Step 6: Final answer
    x = 315,502.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.