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Finding the Third Proportional to 263,121.50 and 397,050.50

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Solution

The third proportional to 263,121.50 and 397,050.50 is: 599,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,121.50 : 397,050.50 = 397,050.50 : x
  2. Step 2: Convert to fraction form
    263,121.50/397,050.50 = 397,050.50/x
  3. Step 3: Cross multiply
    263,121.50x = 397,050.50 × 397,050.50
  4. Step 4: Simplify right side
    263,121.50x = 157,649,099,550.25
  5. Step 5: Solve for x
    x = 157,649,099,550.25/263,121.50
  6. Step 6: Final answer
    x = 599,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.