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Finding the Third Proportional to 171,550.50 and 378,003

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Solution

The third proportional to 171,550.50 and 378,003 is: 832,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,550.50 : 378,003 = 378,003 : x
  2. Step 2: Convert to fraction form
    171,550.50/378,003 = 378,003/x
  3. Step 3: Cross multiply
    171,550.50x = 378,003 × 378,003
  4. Step 4: Simplify right side
    171,550.50x = 142,886,268,009
  5. Step 5: Solve for x
    x = 142,886,268,009/171,550.50
  6. Step 6: Final answer
    x = 832,910.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.