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Finding the Third Proportional to 171,396 and 263,622

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Solution

The third proportional to 171,396 and 263,622 is: 405,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,396 : 263,622 = 263,622 : x
  2. Step 2: Convert to fraction form
    171,396/263,622 = 263,622/x
  3. Step 3: Cross multiply
    171,396x = 263,622 × 263,622
  4. Step 4: Simplify right side
    171,396x = 69,496,558,884
  5. Step 5: Solve for x
    x = 69,496,558,884/171,396
  6. Step 6: Final answer
    x = 405,473.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.