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Finding the Third Proportional to 149,821 and 321,876

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Solution

The third proportional to 149,821 and 321,876 is: 691,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,821 : 321,876 = 321,876 : x
  2. Step 2: Convert to fraction form
    149,821/321,876 = 321,876/x
  3. Step 3: Cross multiply
    149,821x = 321,876 × 321,876
  4. Step 4: Simplify right side
    149,821x = 103,604,159,376
  5. Step 5: Solve for x
    x = 103,604,159,376/149,821
  6. Step 6: Final answer
    x = 691,519.61

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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.