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Finding the Third Proportional to 74,791.56 and 166,190.64

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Solution

The third proportional to 74,791.56 and 166,190.64 is: 369,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.56 : 166,190.64 = 166,190.64 : x
  2. Step 2: Convert to fraction form
    74,791.56/166,190.64 = 166,190.64/x
  3. Step 3: Cross multiply
    74,791.56x = 166,190.64 × 166,190.64
  4. Step 4: Simplify right side
    74,791.56x = 27,619,329,680.53
  5. Step 5: Solve for x
    x = 27,619,329,680.53/74,791.56
  6. Step 6: Final answer
    x = 369,284.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.