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Finding the Third Proportional to 151,108 and 226,734

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Solution

The third proportional to 151,108 and 226,734 is: 340,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,108 : 226,734 = 226,734 : x
  2. Step 2: Convert to fraction form
    151,108/226,734 = 226,734/x
  3. Step 3: Cross multiply
    151,108x = 226,734 × 226,734
  4. Step 4: Simplify right side
    151,108x = 51,408,306,756
  5. Step 5: Solve for x
    x = 51,408,306,756/151,108
  6. Step 6: Final answer
    x = 340,209.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.