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Finding the Third Proportional to 183,974 and 394,204

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Solution

The third proportional to 183,974 and 394,204 is: 844,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,974 : 394,204 = 394,204 : x
  2. Step 2: Convert to fraction form
    183,974/394,204 = 394,204/x
  3. Step 3: Cross multiply
    183,974x = 394,204 × 394,204
  4. Step 4: Simplify right side
    183,974x = 155,396,793,616
  5. Step 5: Solve for x
    x = 155,396,793,616/183,974
  6. Step 6: Final answer
    x = 844,667.15

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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.