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Finding the Third Proportional to 105,846 and 226,249

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Solution

The third proportional to 105,846 and 226,249 is: 483,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846 : 226,249 = 226,249 : x
  2. Step 2: Convert to fraction form
    105,846/226,249 = 226,249/x
  3. Step 3: Cross multiply
    105,846x = 226,249 × 226,249
  4. Step 4: Simplify right side
    105,846x = 51,188,610,001
  5. Step 5: Solve for x
    x = 51,188,610,001/105,846
  6. Step 6: Final answer
    x = 483,614.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.