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Finding the Third Proportional to 200,791.25 and 294,480.75

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Solution

The third proportional to 200,791.25 and 294,480.75 is: 431,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,791.25 : 294,480.75 = 294,480.75 : x
  2. Step 2: Convert to fraction form
    200,791.25/294,480.75 = 294,480.75/x
  3. Step 3: Cross multiply
    200,791.25x = 294,480.75 × 294,480.75
  4. Step 4: Simplify right side
    200,791.25x = 86,718,912,120.56
  5. Step 5: Solve for x
    x = 86,718,912,120.56/200,791.25
  6. Step 6: Final answer
    x = 431,885.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.