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Finding the Third Proportional to 143,233.31 and 315,057.09

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Solution

The third proportional to 143,233.31 and 315,057.09 is: 693,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,233.31 : 315,057.09 = 315,057.09 : x
  2. Step 2: Convert to fraction form
    143,233.31/315,057.09 = 315,057.09/x
  3. Step 3: Cross multiply
    143,233.31x = 315,057.09 × 315,057.09
  4. Step 4: Simplify right side
    143,233.31x = 99,260,972,322.20
  5. Step 5: Solve for x
    x = 99,260,972,322.20/143,233.31
  6. Step 6: Final answer
    x = 693,002.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.