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Finding the Third Proportional to 174.84 and 357.56

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Solution

The third proportional to 174.84 and 357.56 is: 731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 357.56 = 357.56 : x
  2. Step 2: Convert to fraction form
    174.84/357.56 = 357.56/x
  3. Step 3: Cross multiply
    174.84x = 357.56 × 357.56
  4. Step 4: Simplify right side
    174.84x = 127,850.94
  5. Step 5: Solve for x
    x = 127,850.94/174.84
  6. Step 6: Final answer
    x = 731.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.