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Finding the Third Proportional to 206,168.77 and 290,325.66

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Solution

The third proportional to 206,168.77 and 290,325.66 is: 408,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168.77 : 290,325.66 = 290,325.66 : x
  2. Step 2: Convert to fraction form
    206,168.77/290,325.66 = 290,325.66/x
  3. Step 3: Cross multiply
    206,168.77x = 290,325.66 × 290,325.66
  4. Step 4: Simplify right side
    206,168.77x = 84,288,986,676.99
  5. Step 5: Solve for x
    x = 84,288,986,676.99/206,168.77
  6. Step 6: Final answer
    x = 408,834.90

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