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Finding the Third Proportional to 181,844.25 and 395,164.50

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Solution

The third proportional to 181,844.25 and 395,164.50 is: 858,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,844.25 : 395,164.50 = 395,164.50 : x
  2. Step 2: Convert to fraction form
    181,844.25/395,164.50 = 395,164.50/x
  3. Step 3: Cross multiply
    181,844.25x = 395,164.50 × 395,164.50
  4. Step 4: Simplify right side
    181,844.25x = 156,154,982,060.25
  5. Step 5: Solve for x
    x = 156,154,982,060.25/181,844.25
  6. Step 6: Final answer
    x = 858,729.28

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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.