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Finding the Third Proportional to 227,907 and 331,867

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Solution

The third proportional to 227,907 and 331,867 is: 483,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907 : 331,867 = 331,867 : x
  2. Step 2: Convert to fraction form
    227,907/331,867 = 331,867/x
  3. Step 3: Cross multiply
    227,907x = 331,867 × 331,867
  4. Step 4: Simplify right side
    227,907x = 110,135,705,689
  5. Step 5: Solve for x
    x = 110,135,705,689/227,907
  6. Step 6: Final answer
    x = 483,248.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.