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Finding the Third Proportional to 105,181 and 226,400

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Solution

The third proportional to 105,181 and 226,400 is: 487,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,181 : 226,400 = 226,400 : x
  2. Step 2: Convert to fraction form
    105,181/226,400 = 226,400/x
  3. Step 3: Cross multiply
    105,181x = 226,400 × 226,400
  4. Step 4: Simplify right side
    105,181x = 51,256,960,000
  5. Step 5: Solve for x
    x = 51,256,960,000/105,181
  6. Step 6: Final answer
    x = 487,321.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.