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Finding the Third Proportional to 156,108 and 331,662

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Solution

The third proportional to 156,108 and 331,662 is: 704,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,108 : 331,662 = 331,662 : x
  2. Step 2: Convert to fraction form
    156,108/331,662 = 331,662/x
  3. Step 3: Cross multiply
    156,108x = 331,662 × 331,662
  4. Step 4: Simplify right side
    156,108x = 109,999,682,244
  5. Step 5: Solve for x
    x = 109,999,682,244/156,108
  6. Step 6: Final answer
    x = 704,638.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.