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Finding the Third Proportional to 169,162 and 263,427

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Solution

The third proportional to 169,162 and 263,427 is: 410,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,162 : 263,427 = 263,427 : x
  2. Step 2: Convert to fraction form
    169,162/263,427 = 263,427/x
  3. Step 3: Cross multiply
    169,162x = 263,427 × 263,427
  4. Step 4: Simplify right side
    169,162x = 69,393,784,329
  5. Step 5: Solve for x
    x = 69,393,784,329/169,162
  6. Step 6: Final answer
    x = 410,220.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.