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Finding the Third Proportional to 126,446 and 291,977

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Solution

The third proportional to 126,446 and 291,977 is: 674,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,446 : 291,977 = 291,977 : x
  2. Step 2: Convert to fraction form
    126,446/291,977 = 291,977/x
  3. Step 3: Cross multiply
    126,446x = 291,977 × 291,977
  4. Step 4: Simplify right side
    126,446x = 85,250,568,529
  5. Step 5: Solve for x
    x = 85,250,568,529/126,446
  6. Step 6: Final answer
    x = 674,205.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.