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Finding the Third Proportional to 171,022 and 263,094

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Solution

The third proportional to 171,022 and 263,094 is: 404,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022 : 263,094 = 263,094 : x
  2. Step 2: Convert to fraction form
    171,022/263,094 = 263,094/x
  3. Step 3: Cross multiply
    171,022x = 263,094 × 263,094
  4. Step 4: Simplify right side
    171,022x = 69,218,452,836
  5. Step 5: Solve for x
    x = 69,218,452,836/171,022
  6. Step 6: Final answer
    x = 404,734.20

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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.