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Finding the Third Proportional to 146,635.31 and 321,299.16

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Solution

The third proportional to 146,635.31 and 321,299.16 is: 704,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,635.31 : 321,299.16 = 321,299.16 : x
  2. Step 2: Convert to fraction form
    146,635.31/321,299.16 = 321,299.16/x
  3. Step 3: Cross multiply
    146,635.31x = 321,299.16 × 321,299.16
  4. Step 4: Simplify right side
    146,635.31x = 103,233,147,806.96
  5. Step 5: Solve for x
    x = 103,233,147,806.96/146,635.31
  6. Step 6: Final answer
    x = 704,012.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.