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Finding the Third Proportional to 104,308 and 227,204

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Solution

The third proportional to 104,308 and 227,204 is: 494,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,308 : 227,204 = 227,204 : x
  2. Step 2: Convert to fraction form
    104,308/227,204 = 227,204/x
  3. Step 3: Cross multiply
    104,308x = 227,204 × 227,204
  4. Step 4: Simplify right side
    104,308x = 51,621,657,616
  5. Step 5: Solve for x
    x = 51,621,657,616/104,308
  6. Step 6: Final answer
    x = 494,896.44

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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.