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Finding the Third Proportional to 224,298 and 336,456

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Solution

The third proportional to 224,298 and 336,456 is: 504,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,298 : 336,456 = 336,456 : x
  2. Step 2: Convert to fraction form
    224,298/336,456 = 336,456/x
  3. Step 3: Cross multiply
    224,298x = 336,456 × 336,456
  4. Step 4: Simplify right side
    224,298x = 113,202,639,936
  5. Step 5: Solve for x
    x = 113,202,639,936/224,298
  6. Step 6: Final answer
    x = 504,697.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.