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Finding the Third Proportional to 177,334 and 394,034

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Solution

The third proportional to 177,334 and 394,034 is: 875,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,334 : 394,034 = 394,034 : x
  2. Step 2: Convert to fraction form
    177,334/394,034 = 394,034/x
  3. Step 3: Cross multiply
    177,334x = 394,034 × 394,034
  4. Step 4: Simplify right side
    177,334x = 155,262,793,156
  5. Step 5: Solve for x
    x = 155,262,793,156/177,334
  6. Step 6: Final answer
    x = 875,538.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.