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Finding the Third Proportional to 179,927 and 381,994

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Solution

The third proportional to 179,927 and 381,994 is: 810,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,927 : 381,994 = 381,994 : x
  2. Step 2: Convert to fraction form
    179,927/381,994 = 381,994/x
  3. Step 3: Cross multiply
    179,927x = 381,994 × 381,994
  4. Step 4: Simplify right side
    179,927x = 145,919,416,036
  5. Step 5: Solve for x
    x = 145,919,416,036/179,927
  6. Step 6: Final answer
    x = 810,992.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.