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Finding the Third Proportional to 176.11 and 379.03

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Solution

The third proportional to 176.11 and 379.03 is: 815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 379.03 = 379.03 : x
  2. Step 2: Convert to fraction form
    176.11/379.03 = 379.03/x
  3. Step 3: Cross multiply
    176.11x = 379.03 × 379.03
  4. Step 4: Simplify right side
    176.11x = 143,664.69
  5. Step 5: Solve for x
    x = 143,664.69/176.11
  6. Step 6: Final answer
    x = 815.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.