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Finding the Third Proportional to 149,474 and 226,980

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Solution

The third proportional to 149,474 and 226,980 is: 344,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,474 : 226,980 = 226,980 : x
  2. Step 2: Convert to fraction form
    149,474/226,980 = 226,980/x
  3. Step 3: Cross multiply
    149,474x = 226,980 × 226,980
  4. Step 4: Simplify right side
    149,474x = 51,519,920,400
  5. Step 5: Solve for x
    x = 51,519,920,400/149,474
  6. Step 6: Final answer
    x = 344,674.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.