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Finding the Third Proportional to 104,530 and 229,869

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Solution

The third proportional to 104,530 and 229,869 is: 505,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,530 : 229,869 = 229,869 : x
  2. Step 2: Convert to fraction form
    104,530/229,869 = 229,869/x
  3. Step 3: Cross multiply
    104,530x = 229,869 × 229,869
  4. Step 4: Simplify right side
    104,530x = 52,839,757,161
  5. Step 5: Solve for x
    x = 52,839,757,161/104,530
  6. Step 6: Final answer
    x = 505,498.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.