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Finding the Third Proportional to 156,671 and 331,201

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Solution

The third proportional to 156,671 and 331,201 is: 700,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,671 : 331,201 = 331,201 : x
  2. Step 2: Convert to fraction form
    156,671/331,201 = 331,201/x
  3. Step 3: Cross multiply
    156,671x = 331,201 × 331,201
  4. Step 4: Simplify right side
    156,671x = 109,694,102,401
  5. Step 5: Solve for x
    x = 109,694,102,401/156,671
  6. Step 6: Final answer
    x = 700,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.