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Finding the Third Proportional to 109,840 and 226,238

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Solution

The third proportional to 109,840 and 226,238 is: 465,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,840 : 226,238 = 226,238 : x
  2. Step 2: Convert to fraction form
    109,840/226,238 = 226,238/x
  3. Step 3: Cross multiply
    109,840x = 226,238 × 226,238
  4. Step 4: Simplify right side
    109,840x = 51,183,632,644
  5. Step 5: Solve for x
    x = 51,183,632,644/109,840
  6. Step 6: Final answer
    x = 465,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.