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Finding the Third Proportional to 104,241 and 227,601

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Solution

The third proportional to 104,241 and 227,601 is: 496,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,241 : 227,601 = 227,601 : x
  2. Step 2: Convert to fraction form
    104,241/227,601 = 227,601/x
  3. Step 3: Cross multiply
    104,241x = 227,601 × 227,601
  4. Step 4: Simplify right side
    104,241x = 51,802,215,201
  5. Step 5: Solve for x
    x = 51,802,215,201/104,241
  6. Step 6: Final answer
    x = 496,946.64

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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.