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Finding the Third Proportional to 148,756 and 226,622

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Solution

The third proportional to 148,756 and 226,622 is: 345,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,756 : 226,622 = 226,622 : x
  2. Step 2: Convert to fraction form
    148,756/226,622 = 226,622/x
  3. Step 3: Cross multiply
    148,756x = 226,622 × 226,622
  4. Step 4: Simplify right side
    148,756x = 51,357,530,884
  5. Step 5: Solve for x
    x = 51,357,530,884/148,756
  6. Step 6: Final answer
    x = 345,246.79

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Why These Related Problems?

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