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Finding the Third Proportional to 104,238 and 203,291

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Solution

The third proportional to 104,238 and 203,291 is: 396,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,238 : 203,291 = 203,291 : x
  2. Step 2: Convert to fraction form
    104,238/203,291 = 203,291/x
  3. Step 3: Cross multiply
    104,238x = 203,291 × 203,291
  4. Step 4: Simplify right side
    104,238x = 41,327,230,681
  5. Step 5: Solve for x
    x = 41,327,230,681/104,238
  6. Step 6: Final answer
    x = 396,469.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.