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Finding the Third Proportional to 200,732 and 311,183

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Solution

The third proportional to 200,732 and 311,183 is: 482,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 311,183 = 311,183 : x
  2. Step 2: Convert to fraction form
    200,732/311,183 = 311,183/x
  3. Step 3: Cross multiply
    200,732x = 311,183 × 311,183
  4. Step 4: Simplify right side
    200,732x = 96,834,859,489
  5. Step 5: Solve for x
    x = 96,834,859,489/200,732
  6. Step 6: Final answer
    x = 482,408.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.