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Finding the Third Proportional to 215,833 and 440,234

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Solution

The third proportional to 215,833 and 440,234 is: 897,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833 : 440,234 = 440,234 : x
  2. Step 2: Convert to fraction form
    215,833/440,234 = 440,234/x
  3. Step 3: Cross multiply
    215,833x = 440,234 × 440,234
  4. Step 4: Simplify right side
    215,833x = 193,805,974,756
  5. Step 5: Solve for x
    x = 193,805,974,756/215,833
  6. Step 6: Final answer
    x = 897,944.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.