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Finding the Third Proportional to 133,647 and 288,183

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Solution

The third proportional to 133,647 and 288,183 is: 621,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647 : 288,183 = 288,183 : x
  2. Step 2: Convert to fraction form
    133,647/288,183 = 288,183/x
  3. Step 3: Cross multiply
    133,647x = 288,183 × 288,183
  4. Step 4: Simplify right side
    133,647x = 83,049,441,489
  5. Step 5: Solve for x
    x = 83,049,441,489/133,647
  6. Step 6: Final answer
    x = 621,408.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.