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Finding the Third Proportional to 206,435 and 290,698

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Solution

The third proportional to 206,435 and 290,698 is: 409,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435 : 290,698 = 290,698 : x
  2. Step 2: Convert to fraction form
    206,435/290,698 = 290,698/x
  3. Step 3: Cross multiply
    206,435x = 290,698 × 290,698
  4. Step 4: Simplify right side
    206,435x = 84,505,327,204
  5. Step 5: Solve for x
    x = 84,505,327,204/206,435
  6. Step 6: Final answer
    x = 409,355.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.