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Finding the Third Proportional to 104,256 and 227,629.13

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Solution

The third proportional to 104,256 and 227,629.13 is: 496,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,256 : 227,629.13 = 227,629.13 : x
  2. Step 2: Convert to fraction form
    104,256/227,629.13 = 227,629.13/x
  3. Step 3: Cross multiply
    104,256x = 227,629.13 × 227,629.13
  4. Step 4: Simplify right side
    104,256x = 51,815,018,548.27
  5. Step 5: Solve for x
    x = 51,815,018,548.27/104,256
  6. Step 6: Final answer
    x = 496,997.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.