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Finding the Third Proportional to 206,914.50 and 443,346.75

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Solution

The third proportional to 206,914.50 and 443,346.75 is: 949,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,914.50 : 443,346.75 = 443,346.75 : x
  2. Step 2: Convert to fraction form
    206,914.50/443,346.75 = 443,346.75/x
  3. Step 3: Cross multiply
    206,914.50x = 443,346.75 × 443,346.75
  4. Step 4: Simplify right side
    206,914.50x = 196,556,340,735.56
  5. Step 5: Solve for x
    x = 196,556,340,735.56/206,914.50
  6. Step 6: Final answer
    x = 949,939.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.