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Finding the Third Proportional to 192,856.50 and 395,109

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Solution

The third proportional to 192,856.50 and 395,109 is: 809,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,856.50 : 395,109 = 395,109 : x
  2. Step 2: Convert to fraction form
    192,856.50/395,109 = 395,109/x
  3. Step 3: Cross multiply
    192,856.50x = 395,109 × 395,109
  4. Step 4: Simplify right side
    192,856.50x = 156,111,121,881
  5. Step 5: Solve for x
    x = 156,111,121,881/192,856.50
  6. Step 6: Final answer
    x = 809,467.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.