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Finding the Third Proportional to 159,936 and 339,552

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Solution

The third proportional to 159,936 and 339,552 is: 720,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,936 : 339,552 = 339,552 : x
  2. Step 2: Convert to fraction form
    159,936/339,552 = 339,552/x
  3. Step 3: Cross multiply
    159,936x = 339,552 × 339,552
  4. Step 4: Simplify right side
    159,936x = 115,295,560,704
  5. Step 5: Solve for x
    x = 115,295,560,704/159,936
  6. Step 6: Final answer
    x = 720,885.61

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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.