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Finding the Third Proportional to 141,193.50 and 275,292.75

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Solution

The third proportional to 141,193.50 and 275,292.75 is: 536,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.50 : 275,292.75 = 275,292.75 : x
  2. Step 2: Convert to fraction form
    141,193.50/275,292.75 = 275,292.75/x
  3. Step 3: Cross multiply
    141,193.50x = 275,292.75 × 275,292.75
  4. Step 4: Simplify right side
    141,193.50x = 75,786,098,202.56
  5. Step 5: Solve for x
    x = 75,786,098,202.56/141,193.50
  6. Step 6: Final answer
    x = 536,753.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.