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Finding the Third Proportional to 183,879 and 395,905.50

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Solution

The third proportional to 183,879 and 395,905.50 is: 852,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,879 : 395,905.50 = 395,905.50 : x
  2. Step 2: Convert to fraction form
    183,879/395,905.50 = 395,905.50/x
  3. Step 3: Cross multiply
    183,879x = 395,905.50 × 395,905.50
  4. Step 4: Simplify right side
    183,879x = 156,741,164,930.25
  5. Step 5: Solve for x
    x = 156,741,164,930.25/183,879
  6. Step 6: Final answer
    x = 852,414.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.