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Finding the Third Proportional to 221,832 and 332,640

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Solution

The third proportional to 221,832 and 332,640 is: 498,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,832 : 332,640 = 332,640 : x
  2. Step 2: Convert to fraction form
    221,832/332,640 = 332,640/x
  3. Step 3: Cross multiply
    221,832x = 332,640 × 332,640
  4. Step 4: Simplify right side
    221,832x = 110,649,369,600
  5. Step 5: Solve for x
    x = 110,649,369,600/221,832
  6. Step 6: Final answer
    x = 498,798.05

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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.