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Finding the Third Proportional to 224,503 and 339,087

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Solution

The third proportional to 224,503 and 339,087 is: 512,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,503 : 339,087 = 339,087 : x
  2. Step 2: Convert to fraction form
    224,503/339,087 = 339,087/x
  3. Step 3: Cross multiply
    224,503x = 339,087 × 339,087
  4. Step 4: Simplify right side
    224,503x = 114,979,993,569
  5. Step 5: Solve for x
    x = 114,979,993,569/224,503
  6. Step 6: Final answer
    x = 512,153.48

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Why These Related Problems?

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