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Finding the Third Proportional to 156,252 and 336,234

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Solution

The third proportional to 156,252 and 336,234 is: 723,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,252 : 336,234 = 336,234 : x
  2. Step 2: Convert to fraction form
    156,252/336,234 = 336,234/x
  3. Step 3: Cross multiply
    156,252x = 336,234 × 336,234
  4. Step 4: Simplify right side
    156,252x = 113,053,302,756
  5. Step 5: Solve for x
    x = 113,053,302,756/156,252
  6. Step 6: Final answer
    x = 723,531.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.