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Finding the Third Proportional to 206,704.50 and 442,932.50

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Solution

The third proportional to 206,704.50 and 442,932.50 is: 949,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,704.50 : 442,932.50 = 442,932.50 : x
  2. Step 2: Convert to fraction form
    206,704.50/442,932.50 = 442,932.50/x
  3. Step 3: Cross multiply
    206,704.50x = 442,932.50 × 442,932.50
  4. Step 4: Simplify right side
    206,704.50x = 196,189,199,556.25
  5. Step 5: Solve for x
    x = 196,189,199,556.25/206,704.50
  6. Step 6: Final answer
    x = 949,128.83

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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.