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Finding the Third Proportional to 207,600.47 and 311,399.86

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Solution

The third proportional to 207,600.47 and 311,399.86 is: 467,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,600.47 : 311,399.86 = 311,399.86 : x
  2. Step 2: Convert to fraction form
    207,600.47/311,399.86 = 311,399.86/x
  3. Step 3: Cross multiply
    207,600.47x = 311,399.86 × 311,399.86
  4. Step 4: Simplify right side
    207,600.47x = 96,969,872,418.77
  5. Step 5: Solve for x
    x = 96,969,872,418.77/207,600.47
  6. Step 6: Final answer
    x = 467,098.52

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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.