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Finding the Third Proportional to 174,277 and 381,782

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Solution

The third proportional to 174,277 and 381,782 is: 836,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,277 : 381,782 = 381,782 : x
  2. Step 2: Convert to fraction form
    174,277/381,782 = 381,782/x
  3. Step 3: Cross multiply
    174,277x = 381,782 × 381,782
  4. Step 4: Simplify right side
    174,277x = 145,757,495,524
  5. Step 5: Solve for x
    x = 145,757,495,524/174,277
  6. Step 6: Final answer
    x = 836,355.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.