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Finding the Third Proportional to 226,233 and 336,069

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Solution

The third proportional to 226,233 and 336,069 is: 499,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,233 : 336,069 = 336,069 : x
  2. Step 2: Convert to fraction form
    226,233/336,069 = 336,069/x
  3. Step 3: Cross multiply
    226,233x = 336,069 × 336,069
  4. Step 4: Simplify right side
    226,233x = 112,942,372,761
  5. Step 5: Solve for x
    x = 112,942,372,761/226,233
  6. Step 6: Final answer
    x = 499,230.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.