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Finding the Third Proportional to 143,992.50 and 202,684.50

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Solution

The third proportional to 143,992.50 and 202,684.50 is: 285,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,992.50 : 202,684.50 = 202,684.50 : x
  2. Step 2: Convert to fraction form
    143,992.50/202,684.50 = 202,684.50/x
  3. Step 3: Cross multiply
    143,992.50x = 202,684.50 × 202,684.50
  4. Step 4: Simplify right side
    143,992.50x = 41,081,006,540.25
  5. Step 5: Solve for x
    x = 41,081,006,540.25/143,992.50
  6. Step 6: Final answer
    x = 285,299.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.