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Finding the Third Proportional to 132,212 and 198,611

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Solution

The third proportional to 132,212 and 198,611 is: 298,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212 : 198,611 = 198,611 : x
  2. Step 2: Convert to fraction form
    132,212/198,611 = 198,611/x
  3. Step 3: Cross multiply
    132,212x = 198,611 × 198,611
  4. Step 4: Simplify right side
    132,212x = 39,446,329,321
  5. Step 5: Solve for x
    x = 39,446,329,321/132,212
  6. Step 6: Final answer
    x = 298,356.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.