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Finding the Third Proportional to 149,972 and 226,500

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Solution

The third proportional to 149,972 and 226,500 is: 342,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,972 : 226,500 = 226,500 : x
  2. Step 2: Convert to fraction form
    149,972/226,500 = 226,500/x
  3. Step 3: Cross multiply
    149,972x = 226,500 × 226,500
  4. Step 4: Simplify right side
    149,972x = 51,302,250,000
  5. Step 5: Solve for x
    x = 51,302,250,000/149,972
  6. Step 6: Final answer
    x = 342,078.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.