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Finding the Third Proportional to 164,686 and 335,204

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Solution

The third proportional to 164,686 and 335,204 is: 682,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,686 : 335,204 = 335,204 : x
  2. Step 2: Convert to fraction form
    164,686/335,204 = 335,204/x
  3. Step 3: Cross multiply
    164,686x = 335,204 × 335,204
  4. Step 4: Simplify right side
    164,686x = 112,361,721,616
  5. Step 5: Solve for x
    x = 112,361,721,616/164,686
  6. Step 6: Final answer
    x = 682,278.53

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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.