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Finding the Third Proportional to 224,940 and 339,734

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Solution

The third proportional to 224,940 and 339,734 is: 513,111.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,940 : 339,734 = 339,734 : x
  2. Step 2: Convert to fraction form
    224,940/339,734 = 339,734/x
  3. Step 3: Cross multiply
    224,940x = 339,734 × 339,734
  4. Step 4: Simplify right side
    224,940x = 115,419,190,756
  5. Step 5: Solve for x
    x = 115,419,190,756/224,940
  6. Step 6: Final answer
    x = 513,111.01

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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.