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Finding the Third Proportional to 206,608.50 and 447,945

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Solution

The third proportional to 206,608.50 and 447,945 is: 971,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608.50 : 447,945 = 447,945 : x
  2. Step 2: Convert to fraction form
    206,608.50/447,945 = 447,945/x
  3. Step 3: Cross multiply
    206,608.50x = 447,945 × 447,945
  4. Step 4: Simplify right side
    206,608.50x = 200,654,723,025
  5. Step 5: Solve for x
    x = 200,654,723,025/206,608.50
  6. Step 6: Final answer
    x = 971,183.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.