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Finding the Third Proportional to 221,197 and 332,891

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Solution

The third proportional to 221,197 and 332,891 is: 500,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,197 : 332,891 = 332,891 : x
  2. Step 2: Convert to fraction form
    221,197/332,891 = 332,891/x
  3. Step 3: Cross multiply
    221,197x = 332,891 × 332,891
  4. Step 4: Simplify right side
    221,197x = 110,816,417,881
  5. Step 5: Solve for x
    x = 110,816,417,881/221,197
  6. Step 6: Final answer
    x = 500,985.18

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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.