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Finding the Third Proportional to 221,854 and 332,673

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Solution

The third proportional to 221,854 and 332,673 is: 498,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,854 : 332,673 = 332,673 : x
  2. Step 2: Convert to fraction form
    221,854/332,673 = 332,673/x
  3. Step 3: Cross multiply
    221,854x = 332,673 × 332,673
  4. Step 4: Simplify right side
    221,854x = 110,671,324,929
  5. Step 5: Solve for x
    x = 110,671,324,929/221,854
  6. Step 6: Final answer
    x = 498,847.55

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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.