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Finding the Third Proportional to 175.91 and 363.06

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Solution

The third proportional to 175.91 and 363.06 is: 749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.91 : 363.06 = 363.06 : x
  2. Step 2: Convert to fraction form
    175.91/363.06 = 363.06/x
  3. Step 3: Cross multiply
    175.91x = 363.06 × 363.06
  4. Step 4: Simplify right side
    175.91x = 131,814.38
  5. Step 5: Solve for x
    x = 131,814.38/175.91
  6. Step 6: Final answer
    x = 749.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.