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Finding the Third Proportional to 221,852 and 332,670

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Solution

The third proportional to 221,852 and 332,670 is: 498,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,852 : 332,670 = 332,670 : x
  2. Step 2: Convert to fraction form
    221,852/332,670 = 332,670/x
  3. Step 3: Cross multiply
    221,852x = 332,670 × 332,670
  4. Step 4: Simplify right side
    221,852x = 110,669,328,900
  5. Step 5: Solve for x
    x = 110,669,328,900/221,852
  6. Step 6: Final answer
    x = 498,843.05

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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.