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Finding the Third Proportional to 104,194 and 225,668

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Solution

The third proportional to 104,194 and 225,668 is: 488,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,194 : 225,668 = 225,668 : x
  2. Step 2: Convert to fraction form
    104,194/225,668 = 225,668/x
  3. Step 3: Cross multiply
    104,194x = 225,668 × 225,668
  4. Step 4: Simplify right side
    104,194x = 50,926,046,224
  5. Step 5: Solve for x
    x = 50,926,046,224/104,194
  6. Step 6: Final answer
    x = 488,761.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.