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Finding the Third Proportional to 84,458 and 181,876

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Solution

The third proportional to 84,458 and 181,876 is: 391,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,458 : 181,876 = 181,876 : x
  2. Step 2: Convert to fraction form
    84,458/181,876 = 181,876/x
  3. Step 3: Cross multiply
    84,458x = 181,876 × 181,876
  4. Step 4: Simplify right side
    84,458x = 33,078,879,376
  5. Step 5: Solve for x
    x = 33,078,879,376/84,458
  6. Step 6: Final answer
    x = 391,660.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.