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Finding the Third Proportional to 177,728 and 379,936

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Solution

The third proportional to 177,728 and 379,936 is: 812,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,728 : 379,936 = 379,936 : x
  2. Step 2: Convert to fraction form
    177,728/379,936 = 379,936/x
  3. Step 3: Cross multiply
    177,728x = 379,936 × 379,936
  4. Step 4: Simplify right side
    177,728x = 144,351,364,096
  5. Step 5: Solve for x
    x = 144,351,364,096/177,728
  6. Step 6: Final answer
    x = 812,203.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.