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Finding the Third Proportional to 170,880.38 and 274,545.75

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Solution

The third proportional to 170,880.38 and 274,545.75 is: 441,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,880.38 : 274,545.75 = 274,545.75 : x
  2. Step 2: Convert to fraction form
    170,880.38/274,545.75 = 274,545.75/x
  3. Step 3: Cross multiply
    170,880.38x = 274,545.75 × 274,545.75
  4. Step 4: Simplify right side
    170,880.38x = 75,375,368,843.06
  5. Step 5: Solve for x
    x = 75,375,368,843.06/170,880.38
  6. Step 6: Final answer
    x = 441,100.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.