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Finding the Third Proportional to 176,401 and 381,096

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Solution

The third proportional to 176,401 and 381,096 is: 823,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,401 : 381,096 = 381,096 : x
  2. Step 2: Convert to fraction form
    176,401/381,096 = 381,096/x
  3. Step 3: Cross multiply
    176,401x = 381,096 × 381,096
  4. Step 4: Simplify right side
    176,401x = 145,234,161,216
  5. Step 5: Solve for x
    x = 145,234,161,216/176,401
  6. Step 6: Final answer
    x = 823,318.24

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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.