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Finding the Third Proportional to 104,634 and 222,768

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Solution

The third proportional to 104,634 and 222,768 is: 474,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,634 : 222,768 = 222,768 : x
  2. Step 2: Convert to fraction form
    104,634/222,768 = 222,768/x
  3. Step 3: Cross multiply
    104,634x = 222,768 × 222,768
  4. Step 4: Simplify right side
    104,634x = 49,625,581,824
  5. Step 5: Solve for x
    x = 49,625,581,824/104,634
  6. Step 6: Final answer
    x = 474,277.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.