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Finding the Third Proportional to 181,635.75 and 395,967.38

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Solution

The third proportional to 181,635.75 and 395,967.38 is: 863,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,635.75 : 395,967.38 = 395,967.38 : x
  2. Step 2: Convert to fraction form
    181,635.75/395,967.38 = 395,967.38/x
  3. Step 3: Cross multiply
    181,635.75x = 395,967.38 × 395,967.38
  4. Step 4: Simplify right side
    181,635.75x = 156,790,162,064.39
  5. Step 5: Solve for x
    x = 156,790,162,064.39/181,635.75
  6. Step 6: Final answer
    x = 863,212.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.