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Finding the Third Proportional to 143,002.50 and 210,372.75

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Solution

The third proportional to 143,002.50 and 210,372.75 is: 309,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,002.50 : 210,372.75 = 210,372.75 : x
  2. Step 2: Convert to fraction form
    143,002.50/210,372.75 = 210,372.75/x
  3. Step 3: Cross multiply
    143,002.50x = 210,372.75 × 210,372.75
  4. Step 4: Simplify right side
    143,002.50x = 44,256,693,942.56
  5. Step 5: Solve for x
    x = 44,256,693,942.56/143,002.50
  6. Step 6: Final answer
    x = 309,481.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.