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Finding the Third Proportional to 67,676 and 155,978

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Solution

The third proportional to 67,676 and 155,978 is: 359,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,676 : 155,978 = 155,978 : x
  2. Step 2: Convert to fraction form
    67,676/155,978 = 155,978/x
  3. Step 3: Cross multiply
    67,676x = 155,978 × 155,978
  4. Step 4: Simplify right side
    67,676x = 24,329,136,484
  5. Step 5: Solve for x
    x = 24,329,136,484/67,676
  6. Step 6: Final answer
    x = 359,494.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.