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Finding the Third Proportional to 192,692.25 and 273,895.50

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Solution

The third proportional to 192,692.25 and 273,895.50 is: 389,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.25 : 273,895.50 = 273,895.50 : x
  2. Step 2: Convert to fraction form
    192,692.25/273,895.50 = 273,895.50/x
  3. Step 3: Cross multiply
    192,692.25x = 273,895.50 × 273,895.50
  4. Step 4: Simplify right side
    192,692.25x = 75,018,744,920.25
  5. Step 5: Solve for x
    x = 75,018,744,920.25/192,692.25
  6. Step 6: Final answer
    x = 389,318.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.