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Finding the Third Proportional to 226,976 and 343,622

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Solution

The third proportional to 226,976 and 343,622 is: 520,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,976 : 343,622 = 343,622 : x
  2. Step 2: Convert to fraction form
    226,976/343,622 = 343,622/x
  3. Step 3: Cross multiply
    226,976x = 343,622 × 343,622
  4. Step 4: Simplify right side
    226,976x = 118,076,078,884
  5. Step 5: Solve for x
    x = 118,076,078,884/226,976
  6. Step 6: Final answer
    x = 520,213.94

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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.