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Finding the Third Proportional to 174,986 and 271,467

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Solution

The third proportional to 174,986 and 271,467 is: 421,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,986 : 271,467 = 271,467 : x
  2. Step 2: Convert to fraction form
    174,986/271,467 = 271,467/x
  3. Step 3: Cross multiply
    174,986x = 271,467 × 271,467
  4. Step 4: Simplify right side
    174,986x = 73,694,332,089
  5. Step 5: Solve for x
    x = 73,694,332,089/174,986
  6. Step 6: Final answer
    x = 421,144.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.