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Finding the Third Proportional to 154,198 and 224,734

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Solution

The third proportional to 154,198 and 224,734 is: 327,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,198 : 224,734 = 224,734 : x
  2. Step 2: Convert to fraction form
    154,198/224,734 = 224,734/x
  3. Step 3: Cross multiply
    154,198x = 224,734 × 224,734
  4. Step 4: Simplify right side
    154,198x = 50,505,370,756
  5. Step 5: Solve for x
    x = 50,505,370,756/154,198
  6. Step 6: Final answer
    x = 327,535.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.