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Finding the Third Proportional to 189,266 and 263,163

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Solution

The third proportional to 189,266 and 263,163 is: 365,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,266 : 263,163 = 263,163 : x
  2. Step 2: Convert to fraction form
    189,266/263,163 = 263,163/x
  3. Step 3: Cross multiply
    189,266x = 263,163 × 263,163
  4. Step 4: Simplify right side
    189,266x = 69,254,764,569
  5. Step 5: Solve for x
    x = 69,254,764,569/189,266
  6. Step 6: Final answer
    x = 365,912.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.