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Finding the Third Proportional to 171,477 and 268,191

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Solution

The third proportional to 171,477 and 268,191 is: 419,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,477 : 268,191 = 268,191 : x
  2. Step 2: Convert to fraction form
    171,477/268,191 = 268,191/x
  3. Step 3: Cross multiply
    171,477x = 268,191 × 268,191
  4. Step 4: Simplify right side
    171,477x = 71,926,412,481
  5. Step 5: Solve for x
    x = 71,926,412,481/171,477
  6. Step 6: Final answer
    x = 419,452.24

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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.