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Finding the Third Proportional to 200,692.69 and 275,202.56

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Solution

The third proportional to 200,692.69 and 275,202.56 is: 377,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.69 : 275,202.56 = 275,202.56 : x
  2. Step 2: Convert to fraction form
    200,692.69/275,202.56 = 275,202.56/x
  3. Step 3: Cross multiply
    200,692.69x = 275,202.56 × 275,202.56
  4. Step 4: Simplify right side
    200,692.69x = 75,736,450,406.57
  5. Step 5: Solve for x
    x = 75,736,450,406.57/200,692.69
  6. Step 6: Final answer
    x = 377,375.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.