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Finding the Third Proportional to 132,223 and 198,623

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Solution

The third proportional to 132,223 and 198,623 is: 298,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,223 : 198,623 = 198,623 : x
  2. Step 2: Convert to fraction form
    132,223/198,623 = 198,623/x
  3. Step 3: Cross multiply
    132,223x = 198,623 × 198,623
  4. Step 4: Simplify right side
    132,223x = 39,451,096,129
  5. Step 5: Solve for x
    x = 39,451,096,129/132,223
  6. Step 6: Final answer
    x = 298,367.88

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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.