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Finding the Third Proportional to 226,992 and 343,644

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Solution

The third proportional to 226,992 and 343,644 is: 520,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,992 : 343,644 = 343,644 : x
  2. Step 2: Convert to fraction form
    226,992/343,644 = 343,644/x
  3. Step 3: Cross multiply
    226,992x = 343,644 × 343,644
  4. Step 4: Simplify right side
    226,992x = 118,091,198,736
  5. Step 5: Solve for x
    x = 118,091,198,736/226,992
  6. Step 6: Final answer
    x = 520,243.88

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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.