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Finding the Third Proportional to 171,198 and 412,431

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Solution

The third proportional to 171,198 and 412,431 is: 993,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198 : 412,431 = 412,431 : x
  2. Step 2: Convert to fraction form
    171,198/412,431 = 412,431/x
  3. Step 3: Cross multiply
    171,198x = 412,431 × 412,431
  4. Step 4: Simplify right side
    171,198x = 170,099,329,761
  5. Step 5: Solve for x
    x = 170,099,329,761/171,198
  6. Step 6: Final answer
    x = 993,582.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.