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Finding the Third Proportional to 176,330 and 379,177

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Solution

The third proportional to 176,330 and 379,177 is: 815,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,330 : 379,177 = 379,177 : x
  2. Step 2: Convert to fraction form
    176,330/379,177 = 379,177/x
  3. Step 3: Cross multiply
    176,330x = 379,177 × 379,177
  4. Step 4: Simplify right side
    176,330x = 143,775,197,329
  5. Step 5: Solve for x
    x = 143,775,197,329/176,330
  6. Step 6: Final answer
    x = 815,375.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.