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Finding the Third Proportional to 175.88 and 367.69

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Solution

The third proportional to 175.88 and 367.69 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.88 : 367.69 = 367.69 : x
  2. Step 2: Convert to fraction form
    175.88/367.69 = 367.69/x
  3. Step 3: Cross multiply
    175.88x = 367.69 × 367.69
  4. Step 4: Simplify right side
    175.88x = 135,194.10
  5. Step 5: Solve for x
    x = 135,194.10/175.88
  6. Step 6: Final answer
    x = 768.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.