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Finding the Third Proportional to 181,919.67 and 395,641.97

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Solution

The third proportional to 181,919.67 and 395,641.97 is: 860,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,919.67 : 395,641.97 = 395,641.97 : x
  2. Step 2: Convert to fraction form
    181,919.67/395,641.97 = 395,641.97/x
  3. Step 3: Cross multiply
    181,919.67x = 395,641.97 × 395,641.97
  4. Step 4: Simplify right side
    181,919.67x = 156,532,567,436.38
  5. Step 5: Solve for x
    x = 156,532,567,436.38/181,919.67
  6. Step 6: Final answer
    x = 860,448.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.