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Finding the Third Proportional to 337,162.50 and 467,106.75

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Solution

The third proportional to 337,162.50 and 467,106.75 is: 647,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,162.50 : 467,106.75 = 467,106.75 : x
  2. Step 2: Convert to fraction form
    337,162.50/467,106.75 = 467,106.75/x
  3. Step 3: Cross multiply
    337,162.50x = 467,106.75 × 467,106.75
  4. Step 4: Simplify right side
    337,162.50x = 218,188,715,895.56
  5. Step 5: Solve for x
    x = 218,188,715,895.56/337,162.50
  6. Step 6: Final answer
    x = 647,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.