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Finding the Third Proportional to 221,199 and 332,892

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Solution

The third proportional to 221,199 and 332,892 is: 500,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,199 : 332,892 = 332,892 : x
  2. Step 2: Convert to fraction form
    221,199/332,892 = 332,892/x
  3. Step 3: Cross multiply
    221,199x = 332,892 × 332,892
  4. Step 4: Simplify right side
    221,199x = 110,817,083,664
  5. Step 5: Solve for x
    x = 110,817,083,664/221,199
  6. Step 6: Final answer
    x = 500,983.66

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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.