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Finding the Third Proportional to 134,083.50 and 198,806

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Solution

The third proportional to 134,083.50 and 198,806 is: 294,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,083.50 : 198,806 = 198,806 : x
  2. Step 2: Convert to fraction form
    134,083.50/198,806 = 198,806/x
  3. Step 3: Cross multiply
    134,083.50x = 198,806 × 198,806
  4. Step 4: Simplify right side
    134,083.50x = 39,523,825,636
  5. Step 5: Solve for x
    x = 39,523,825,636/134,083.50
  6. Step 6: Final answer
    x = 294,770.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.