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Finding the Third Proportional to 224,292.38 and 333,198.56

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Solution

The third proportional to 224,292.38 and 333,198.56 is: 494,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,292.38 : 333,198.56 = 333,198.56 : x
  2. Step 2: Convert to fraction form
    224,292.38/333,198.56 = 333,198.56/x
  3. Step 3: Cross multiply
    224,292.38x = 333,198.56 × 333,198.56
  4. Step 4: Simplify right side
    224,292.38x = 111,021,282,052.07
  5. Step 5: Solve for x
    x = 111,021,282,052.07/224,292.38
  6. Step 6: Final answer
    x = 494,984.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.