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Finding the Third Proportional to 104,245 and 227,609

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Solution

The third proportional to 104,245 and 227,609 is: 496,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,245 : 227,609 = 227,609 : x
  2. Step 2: Convert to fraction form
    104,245/227,609 = 227,609/x
  3. Step 3: Cross multiply
    104,245x = 227,609 × 227,609
  4. Step 4: Simplify right side
    104,245x = 51,805,856,881
  5. Step 5: Solve for x
    x = 51,805,856,881/104,245
  6. Step 6: Final answer
    x = 496,962.51

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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.