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Finding the Third Proportional to 142,324.50 and 305,754

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Solution

The third proportional to 142,324.50 and 305,754 is: 656,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,324.50 : 305,754 = 305,754 : x
  2. Step 2: Convert to fraction form
    142,324.50/305,754 = 305,754/x
  3. Step 3: Cross multiply
    142,324.50x = 305,754 × 305,754
  4. Step 4: Simplify right side
    142,324.50x = 93,485,508,516
  5. Step 5: Solve for x
    x = 93,485,508,516/142,324.50
  6. Step 6: Final answer
    x = 656,847.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.