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Finding the Third Proportional to 205,923 and 421,881

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Solution

The third proportional to 205,923 and 421,881 is: 864,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,923 : 421,881 = 421,881 : x
  2. Step 2: Convert to fraction form
    205,923/421,881 = 421,881/x
  3. Step 3: Cross multiply
    205,923x = 421,881 × 421,881
  4. Step 4: Simplify right side
    205,923x = 177,983,578,161
  5. Step 5: Solve for x
    x = 177,983,578,161/205,923
  6. Step 6: Final answer
    x = 864,321.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.