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Finding the Third Proportional to 220,471.50 and 331,005

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Solution

The third proportional to 220,471.50 and 331,005 is: 496,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,471.50 : 331,005 = 331,005 : x
  2. Step 2: Convert to fraction form
    220,471.50/331,005 = 331,005/x
  3. Step 3: Cross multiply
    220,471.50x = 331,005 × 331,005
  4. Step 4: Simplify right side
    220,471.50x = 109,564,310,025
  5. Step 5: Solve for x
    x = 109,564,310,025/220,471.50
  6. Step 6: Final answer
    x = 496,954.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.