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Finding the Third Proportional to 102,529.13 and 225,221.34

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Solution

The third proportional to 102,529.13 and 225,221.34 is: 494,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.13 : 225,221.34 = 225,221.34 : x
  2. Step 2: Convert to fraction form
    102,529.13/225,221.34 = 225,221.34/x
  3. Step 3: Cross multiply
    102,529.13x = 225,221.34 × 225,221.34
  4. Step 4: Simplify right side
    102,529.13x = 50,724,653,680.56
  5. Step 5: Solve for x
    x = 50,724,653,680.56/102,529.13
  6. Step 6: Final answer
    x = 494,734.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.