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Finding the Third Proportional to 231,703 and 308,977

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Solution

The third proportional to 231,703 and 308,977 is: 412,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703 : 308,977 = 308,977 : x
  2. Step 2: Convert to fraction form
    231,703/308,977 = 308,977/x
  3. Step 3: Cross multiply
    231,703x = 308,977 × 308,977
  4. Step 4: Simplify right side
    231,703x = 95,466,786,529
  5. Step 5: Solve for x
    x = 95,466,786,529/231,703
  6. Step 6: Final answer
    x = 412,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.