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Finding the Third Proportional to 104,240 and 203,296

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Solution

The third proportional to 104,240 and 203,296 is: 396,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,240 : 203,296 = 203,296 : x
  2. Step 2: Convert to fraction form
    104,240/203,296 = 203,296/x
  3. Step 3: Cross multiply
    104,240x = 203,296 × 203,296
  4. Step 4: Simplify right side
    104,240x = 41,329,263,616
  5. Step 5: Solve for x
    x = 41,329,263,616/104,240
  6. Step 6: Final answer
    x = 396,481.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.