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Finding the Third Proportional to 132,273 and 198,711

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Solution

The third proportional to 132,273 and 198,711 is: 298,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273 : 198,711 = 198,711 : x
  2. Step 2: Convert to fraction form
    132,273/198,711 = 198,711/x
  3. Step 3: Cross multiply
    132,273x = 198,711 × 198,711
  4. Step 4: Simplify right side
    132,273x = 39,486,061,521
  5. Step 5: Solve for x
    x = 39,486,061,521/132,273
  6. Step 6: Final answer
    x = 298,519.44

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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.