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Finding the Third Proportional to 104,255 and 227,625

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Solution

The third proportional to 104,255 and 227,625 is: 496,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,255 : 227,625 = 227,625 : x
  2. Step 2: Convert to fraction form
    104,255/227,625 = 227,625/x
  3. Step 3: Cross multiply
    104,255x = 227,625 × 227,625
  4. Step 4: Simplify right side
    104,255x = 51,813,140,625
  5. Step 5: Solve for x
    x = 51,813,140,625/104,255
  6. Step 6: Final answer
    x = 496,984.71

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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.