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Finding the Third Proportional to 199,020.38 and 297,801.56

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Solution

The third proportional to 199,020.38 and 297,801.56 is: 445,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,020.38 : 297,801.56 = 297,801.56 : x
  2. Step 2: Convert to fraction form
    199,020.38/297,801.56 = 297,801.56/x
  3. Step 3: Cross multiply
    199,020.38x = 297,801.56 × 297,801.56
  4. Step 4: Simplify right side
    199,020.38x = 88,685,770,627.44
  5. Step 5: Solve for x
    x = 88,685,770,627.44/199,020.38
  6. Step 6: Final answer
    x = 445,611.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.