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Finding the Third Proportional to 225,814 and 330,244

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Solution

The third proportional to 225,814 and 330,244 is: 482,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,814 : 330,244 = 330,244 : x
  2. Step 2: Convert to fraction form
    225,814/330,244 = 330,244/x
  3. Step 3: Cross multiply
    225,814x = 330,244 × 330,244
  4. Step 4: Simplify right side
    225,814x = 109,061,099,536
  5. Step 5: Solve for x
    x = 109,061,099,536/225,814
  6. Step 6: Final answer
    x = 482,968.72

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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.