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Finding the Third Proportional to 194,843 and 418,801

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Solution

The third proportional to 194,843 and 418,801 is: 900,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,843 : 418,801 = 418,801 : x
  2. Step 2: Convert to fraction form
    194,843/418,801 = 418,801/x
  3. Step 3: Cross multiply
    194,843x = 418,801 × 418,801
  4. Step 4: Simplify right side
    194,843x = 175,394,277,601
  5. Step 5: Solve for x
    x = 175,394,277,601/194,843
  6. Step 6: Final answer
    x = 900,182.60

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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.