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Finding the Third Proportional to 181,100.25 and 395,856

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Solution

The third proportional to 181,100.25 and 395,856 is: 865,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,100.25 : 395,856 = 395,856 : x
  2. Step 2: Convert to fraction form
    181,100.25/395,856 = 395,856/x
  3. Step 3: Cross multiply
    181,100.25x = 395,856 × 395,856
  4. Step 4: Simplify right side
    181,100.25x = 156,701,972,736
  5. Step 5: Solve for x
    x = 156,701,972,736/181,100.25
  6. Step 6: Final answer
    x = 865,277.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.