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Finding the Third Proportional to 200,081 and 305,204

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Solution

The third proportional to 200,081 and 305,204 is: 465,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,081 : 305,204 = 305,204 : x
  2. Step 2: Convert to fraction form
    200,081/305,204 = 305,204/x
  3. Step 3: Cross multiply
    200,081x = 305,204 × 305,204
  4. Step 4: Simplify right side
    200,081x = 93,149,481,616
  5. Step 5: Solve for x
    x = 93,149,481,616/200,081
  6. Step 6: Final answer
    x = 465,558.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.