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Finding the Third Proportional to 104,471 and 225,567

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Solution

The third proportional to 104,471 and 225,567 is: 487,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471 : 225,567 = 225,567 : x
  2. Step 2: Convert to fraction form
    104,471/225,567 = 225,567/x
  3. Step 3: Cross multiply
    104,471x = 225,567 × 225,567
  4. Step 4: Simplify right side
    104,471x = 50,880,471,489
  5. Step 5: Solve for x
    x = 50,880,471,489/104,471
  6. Step 6: Final answer
    x = 487,029.62

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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.