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Finding the Third Proportional to 205,864 and 440,266

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Solution

The third proportional to 205,864 and 440,266 is: 941,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,864 : 440,266 = 440,266 : x
  2. Step 2: Convert to fraction form
    205,864/440,266 = 440,266/x
  3. Step 3: Cross multiply
    205,864x = 440,266 × 440,266
  4. Step 4: Simplify right side
    205,864x = 193,834,150,756
  5. Step 5: Solve for x
    x = 193,834,150,756/205,864
  6. Step 6: Final answer
    x = 941,564.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.