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Finding the Third Proportional to 193,504 and 426,256

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Solution

The third proportional to 193,504 and 426,256 is: 938,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,504 : 426,256 = 426,256 : x
  2. Step 2: Convert to fraction form
    193,504/426,256 = 426,256/x
  3. Step 3: Cross multiply
    193,504x = 426,256 × 426,256
  4. Step 4: Simplify right side
    193,504x = 181,694,177,536
  5. Step 5: Solve for x
    x = 181,694,177,536/193,504
  6. Step 6: Final answer
    x = 938,968.59

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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.