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Finding the Third Proportional to 204,571.50 and 275,181

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Solution

The third proportional to 204,571.50 and 275,181 is: 370,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,571.50 : 275,181 = 275,181 : x
  2. Step 2: Convert to fraction form
    204,571.50/275,181 = 275,181/x
  3. Step 3: Cross multiply
    204,571.50x = 275,181 × 275,181
  4. Step 4: Simplify right side
    204,571.50x = 75,724,582,761
  5. Step 5: Solve for x
    x = 75,724,582,761/204,571.50
  6. Step 6: Final answer
    x = 370,161.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.