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Finding the Third Proportional to 104,330 and 225,256

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Solution

The third proportional to 104,330 and 225,256 is: 486,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,330 : 225,256 = 225,256 : x
  2. Step 2: Convert to fraction form
    104,330/225,256 = 225,256/x
  3. Step 3: Cross multiply
    104,330x = 225,256 × 225,256
  4. Step 4: Simplify right side
    104,330x = 50,740,265,536
  5. Step 5: Solve for x
    x = 50,740,265,536/104,330
  6. Step 6: Final answer
    x = 486,343.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.