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Finding the Third Proportional to 176,751 and 381,757

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Solution

The third proportional to 176,751 and 381,757 is: 824,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,751 : 381,757 = 381,757 : x
  2. Step 2: Convert to fraction form
    176,751/381,757 = 381,757/x
  3. Step 3: Cross multiply
    176,751x = 381,757 × 381,757
  4. Step 4: Simplify right side
    176,751x = 145,738,407,049
  5. Step 5: Solve for x
    x = 145,738,407,049/176,751
  6. Step 6: Final answer
    x = 824,540.78

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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.