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Finding the Third Proportional to 220,429.50 and 450,198

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Solution

The third proportional to 220,429.50 and 450,198 is: 919,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,429.50 : 450,198 = 450,198 : x
  2. Step 2: Convert to fraction form
    220,429.50/450,198 = 450,198/x
  3. Step 3: Cross multiply
    220,429.50x = 450,198 × 450,198
  4. Step 4: Simplify right side
    220,429.50x = 202,678,239,204
  5. Step 5: Solve for x
    x = 202,678,239,204/220,429.50
  6. Step 6: Final answer
    x = 919,469.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.