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Finding the Third Proportional to 120,919.50 and 263,344.50

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Solution

The third proportional to 120,919.50 and 263,344.50 is: 573,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,919.50 : 263,344.50 = 263,344.50 : x
  2. Step 2: Convert to fraction form
    120,919.50/263,344.50 = 263,344.50/x
  3. Step 3: Cross multiply
    120,919.50x = 263,344.50 × 263,344.50
  4. Step 4: Simplify right side
    120,919.50x = 69,350,325,680.25
  5. Step 5: Solve for x
    x = 69,350,325,680.25/120,919.50
  6. Step 6: Final answer
    x = 573,524.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.