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Finding the Third Proportional to 200,692.50 and 275,202.75

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Solution

The third proportional to 200,692.50 and 275,202.75 is: 377,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,692.50 : 275,202.75 = 275,202.75 : x
  2. Step 2: Convert to fraction form
    200,692.50/275,202.75 = 275,202.75/x
  3. Step 3: Cross multiply
    200,692.50x = 275,202.75 × 275,202.75
  4. Step 4: Simplify right side
    200,692.50x = 75,736,553,607.56
  5. Step 5: Solve for x
    x = 75,736,553,607.56/200,692.50
  6. Step 6: Final answer
    x = 377,376.10

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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.