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Finding the Third Proportional to 169,048 and 263,266

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Solution

The third proportional to 169,048 and 263,266 is: 409,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,048 : 263,266 = 263,266 : x
  2. Step 2: Convert to fraction form
    169,048/263,266 = 263,266/x
  3. Step 3: Cross multiply
    169,048x = 263,266 × 263,266
  4. Step 4: Simplify right side
    169,048x = 69,308,986,756
  5. Step 5: Solve for x
    x = 69,308,986,756/169,048
  6. Step 6: Final answer
    x = 409,995.90

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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.