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Finding the Third Proportional to 104,244 and 227,607

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Solution

The third proportional to 104,244 and 227,607 is: 496,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,244 : 227,607 = 227,607 : x
  2. Step 2: Convert to fraction form
    104,244/227,607 = 227,607/x
  3. Step 3: Cross multiply
    104,244x = 227,607 × 227,607
  4. Step 4: Simplify right side
    104,244x = 51,804,946,449
  5. Step 5: Solve for x
    x = 51,804,946,449/104,244
  6. Step 6: Final answer
    x = 496,958.54

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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.