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Finding the Third Proportional to 376.11 and 906.09

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Solution

The third proportional to 376.11 and 906.09 is: 2,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.11 : 906.09 = 906.09 : x
  2. Step 2: Convert to fraction form
    376.11/906.09 = 906.09/x
  3. Step 3: Cross multiply
    376.11x = 906.09 × 906.09
  4. Step 4: Simplify right side
    376.11x = 821,005.88
  5. Step 5: Solve for x
    x = 821,005.88/376.11
  6. Step 6: Final answer
    x = 2,182.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.