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Finding the Third Proportional to 177 and 394

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Solution

The third proportional to 177 and 394 is: 877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 394 = 394 : x
  2. Step 2: Convert to fraction form
    177/394 = 394/x
  3. Step 3: Cross multiply
    177x = 394 × 394
  4. Step 4: Simplify right side
    177x = 155,236
  5. Step 5: Solve for x
    x = 155,236/177
  6. Step 6: Final answer
    x = 877.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.