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Finding the Third Proportional to 207,686 and 311,183.50

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Solution

The third proportional to 207,686 and 311,183.50 is: 466,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686 : 311,183.50 = 311,183.50 : x
  2. Step 2: Convert to fraction form
    207,686/311,183.50 = 311,183.50/x
  3. Step 3: Cross multiply
    207,686x = 311,183.50 × 311,183.50
  4. Step 4: Simplify right side
    207,686x = 96,835,170,672.25
  5. Step 5: Solve for x
    x = 96,835,170,672.25/207,686
  6. Step 6: Final answer
    x = 466,257.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.