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Finding the Third Proportional to 224,848 and 338,756

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Solution

The third proportional to 224,848 and 338,756 is: 510,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,848 : 338,756 = 338,756 : x
  2. Step 2: Convert to fraction form
    224,848/338,756 = 338,756/x
  3. Step 3: Cross multiply
    224,848x = 338,756 × 338,756
  4. Step 4: Simplify right side
    224,848x = 114,755,627,536
  5. Step 5: Solve for x
    x = 114,755,627,536/224,848
  6. Step 6: Final answer
    x = 510,369.79

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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.