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Finding the Third Proportional to 226,401 and 331,579.50

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Solution

The third proportional to 226,401 and 331,579.50 is: 485,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,401 : 331,579.50 = 331,579.50 : x
  2. Step 2: Convert to fraction form
    226,401/331,579.50 = 331,579.50/x
  3. Step 3: Cross multiply
    226,401x = 331,579.50 × 331,579.50
  4. Step 4: Simplify right side
    226,401x = 109,944,964,820.25
  5. Step 5: Solve for x
    x = 109,944,964,820.25/226,401
  6. Step 6: Final answer
    x = 485,620.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.