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Finding the Third Proportional to 206,667 and 432,027

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Solution

The third proportional to 206,667 and 432,027 is: 903,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,667 : 432,027 = 432,027 : x
  2. Step 2: Convert to fraction form
    206,667/432,027 = 432,027/x
  3. Step 3: Cross multiply
    206,667x = 432,027 × 432,027
  4. Step 4: Simplify right side
    206,667x = 186,647,328,729
  5. Step 5: Solve for x
    x = 186,647,328,729/206,667
  6. Step 6: Final answer
    x = 903,130.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.