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Finding the Third Proportional to 104,253.75 and 227,626.31

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Solution

The third proportional to 104,253.75 and 227,626.31 is: 496,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,253.75 : 227,626.31 = 227,626.31 : x
  2. Step 2: Convert to fraction form
    104,253.75/227,626.31 = 227,626.31/x
  3. Step 3: Cross multiply
    104,253.75x = 227,626.31 × 227,626.31
  4. Step 4: Simplify right side
    104,253.75x = 51,813,738,142.35
  5. Step 5: Solve for x
    x = 51,813,738,142.35/104,253.75
  6. Step 6: Final answer
    x = 496,996.40

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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.