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Finding the Third Proportional to 168,049.69 and 251,611.31

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Solution

The third proportional to 168,049.69 and 251,611.31 is: 376,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,049.69 : 251,611.31 = 251,611.31 : x
  2. Step 2: Convert to fraction form
    168,049.69/251,611.31 = 251,611.31/x
  3. Step 3: Cross multiply
    168,049.69x = 251,611.31 × 251,611.31
  4. Step 4: Simplify right side
    168,049.69x = 63,308,252,577.97
  5. Step 5: Solve for x
    x = 63,308,252,577.97/168,049.69
  6. Step 6: Final answer
    x = 376,723.42

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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.