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Finding the Third Proportional to 188,835.75 and 419,629.50

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Solution

The third proportional to 188,835.75 and 419,629.50 is: 932,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,835.75 : 419,629.50 = 419,629.50 : x
  2. Step 2: Convert to fraction form
    188,835.75/419,629.50 = 419,629.50/x
  3. Step 3: Cross multiply
    188,835.75x = 419,629.50 × 419,629.50
  4. Step 4: Simplify right side
    188,835.75x = 176,088,917,270.25
  5. Step 5: Solve for x
    x = 176,088,917,270.25/188,835.75
  6. Step 6: Final answer
    x = 932,497.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.