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Finding the Third Proportional to 171,393 and 250,467

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Solution

The third proportional to 171,393 and 250,467 is: 366,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,393 : 250,467 = 250,467 : x
  2. Step 2: Convert to fraction form
    171,393/250,467 = 250,467/x
  3. Step 3: Cross multiply
    171,393x = 250,467 × 250,467
  4. Step 4: Simplify right side
    171,393x = 62,733,718,089
  5. Step 5: Solve for x
    x = 62,733,718,089/171,393
  6. Step 6: Final answer
    x = 366,022.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.