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Finding the Third Proportional to 206,494.75 and 290,794.50

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Solution

The third proportional to 206,494.75 and 290,794.50 is: 409,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.75 : 290,794.50 = 290,794.50 : x
  2. Step 2: Convert to fraction form
    206,494.75/290,794.50 = 290,794.50/x
  3. Step 3: Cross multiply
    206,494.75x = 290,794.50 × 290,794.50
  4. Step 4: Simplify right side
    206,494.75x = 84,561,441,230.25
  5. Step 5: Solve for x
    x = 84,561,441,230.25/206,494.75
  6. Step 6: Final answer
    x = 409,508.92

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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.