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Finding the Third Proportional to 166,041 and 356,270.63

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Solution

The third proportional to 166,041 and 356,270.63 is: 764,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,041 : 356,270.63 = 356,270.63 : x
  2. Step 2: Convert to fraction form
    166,041/356,270.63 = 356,270.63/x
  3. Step 3: Cross multiply
    166,041x = 356,270.63 × 356,270.63
  4. Step 4: Simplify right side
    166,041x = 126,928,758,237.89
  5. Step 5: Solve for x
    x = 126,928,758,237.89/166,041
  6. Step 6: Final answer
    x = 764,442.27

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