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Finding the Third Proportional to 175.75 and 326.19

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Solution

The third proportional to 175.75 and 326.19 is: 605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 326.19 = 326.19 : x
  2. Step 2: Convert to fraction form
    175.75/326.19 = 326.19/x
  3. Step 3: Cross multiply
    175.75x = 326.19 × 326.19
  4. Step 4: Simplify right side
    175.75x = 106,398.29
  5. Step 5: Solve for x
    x = 106,398.29/175.75
  6. Step 6: Final answer
    x = 605.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.