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Finding the Third Proportional to 224,296 and 333,203

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Solution

The third proportional to 224,296 and 333,203 is: 494,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,296 : 333,203 = 333,203 : x
  2. Step 2: Convert to fraction form
    224,296/333,203 = 333,203/x
  3. Step 3: Cross multiply
    224,296x = 333,203 × 333,203
  4. Step 4: Simplify right side
    224,296x = 111,024,239,209
  5. Step 5: Solve for x
    x = 111,024,239,209/224,296
  6. Step 6: Final answer
    x = 494,989.83

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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.