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Finding the Third Proportional to 131,241 and 271,230.75

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Solution

The third proportional to 131,241 and 271,230.75 is: 560,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,241 : 271,230.75 = 271,230.75 : x
  2. Step 2: Convert to fraction form
    131,241/271,230.75 = 271,230.75/x
  3. Step 3: Cross multiply
    131,241x = 271,230.75 × 271,230.75
  4. Step 4: Simplify right side
    131,241x = 73,566,119,745.56
  5. Step 5: Solve for x
    x = 73,566,119,745.56/131,241
  6. Step 6: Final answer
    x = 560,542.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.