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Finding the Third Proportional to 129,615.75 and 198,369.75

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Solution

The third proportional to 129,615.75 and 198,369.75 is: 303,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,615.75 : 198,369.75 = 198,369.75 : x
  2. Step 2: Convert to fraction form
    129,615.75/198,369.75 = 198,369.75/x
  3. Step 3: Cross multiply
    129,615.75x = 198,369.75 × 198,369.75
  4. Step 4: Simplify right side
    129,615.75x = 39,350,557,715.06
  5. Step 5: Solve for x
    x = 39,350,557,715.06/129,615.75
  6. Step 6: Final answer
    x = 303,593.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.