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Finding the Third Proportional to 104,515 and 229,839

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Solution

The third proportional to 104,515 and 229,839 is: 505,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,515 : 229,839 = 229,839 : x
  2. Step 2: Convert to fraction form
    104,515/229,839 = 229,839/x
  3. Step 3: Cross multiply
    104,515x = 229,839 × 229,839
  4. Step 4: Simplify right side
    104,515x = 52,825,965,921
  5. Step 5: Solve for x
    x = 52,825,965,921/104,515
  6. Step 6: Final answer
    x = 505,439.08

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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.