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Finding the Third Proportional to 206,469.50 and 300,716

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Solution

The third proportional to 206,469.50 and 300,716 is: 437,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.50 : 300,716 = 300,716 : x
  2. Step 2: Convert to fraction form
    206,469.50/300,716 = 300,716/x
  3. Step 3: Cross multiply
    206,469.50x = 300,716 × 300,716
  4. Step 4: Simplify right side
    206,469.50x = 90,430,112,656
  5. Step 5: Solve for x
    x = 90,430,112,656/206,469.50
  6. Step 6: Final answer
    x = 437,982.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.