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Finding the Third Proportional to 181,853.25 and 395,183.63

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Solution

The third proportional to 181,853.25 and 395,183.63 is: 858,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,853.25 : 395,183.63 = 395,183.63 : x
  2. Step 2: Convert to fraction form
    181,853.25/395,183.63 = 395,183.63/x
  3. Step 3: Cross multiply
    181,853.25x = 395,183.63 × 395,183.63
  4. Step 4: Simplify right side
    181,853.25x = 156,170,097,468.14
  5. Step 5: Solve for x
    x = 156,170,097,468.14/181,853.25
  6. Step 6: Final answer
    x = 858,769.90

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