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Finding the Third Proportional to 174,992 and 271,479

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Solution

The third proportional to 174,992 and 271,479 is: 421,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992 : 271,479 = 271,479 : x
  2. Step 2: Convert to fraction form
    174,992/271,479 = 271,479/x
  3. Step 3: Cross multiply
    174,992x = 271,479 × 271,479
  4. Step 4: Simplify right side
    174,992x = 73,700,847,441
  5. Step 5: Solve for x
    x = 73,700,847,441/174,992
  6. Step 6: Final answer
    x = 421,166.95

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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.