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Finding the Third Proportional to 67,867 and 160,466

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Solution

The third proportional to 67,867 and 160,466 is: 379,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,867 : 160,466 = 160,466 : x
  2. Step 2: Convert to fraction form
    67,867/160,466 = 160,466/x
  3. Step 3: Cross multiply
    67,867x = 160,466 × 160,466
  4. Step 4: Simplify right side
    67,867x = 25,749,337,156
  5. Step 5: Solve for x
    x = 25,749,337,156/67,867
  6. Step 6: Final answer
    x = 379,408.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.