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Finding the Third Proportional to 181,801.97 and 395,085.09

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Solution

The third proportional to 181,801.97 and 395,085.09 is: 858,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,801.97 : 395,085.09 = 395,085.09 : x
  2. Step 2: Convert to fraction form
    181,801.97/395,085.09 = 395,085.09/x
  3. Step 3: Cross multiply
    181,801.97x = 395,085.09 × 395,085.09
  4. Step 4: Simplify right side
    181,801.97x = 156,092,231,303.45
  5. Step 5: Solve for x
    x = 156,092,231,303.45/181,801.97
  6. Step 6: Final answer
    x = 858,583.83

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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.