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Finding the Third Proportional to 143,930.25 and 216,033.75

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Solution

The third proportional to 143,930.25 and 216,033.75 is: 324,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,930.25 : 216,033.75 = 216,033.75 : x
  2. Step 2: Convert to fraction form
    143,930.25/216,033.75 = 216,033.75/x
  3. Step 3: Cross multiply
    143,930.25x = 216,033.75 × 216,033.75
  4. Step 4: Simplify right side
    143,930.25x = 46,670,581,139.06
  5. Step 5: Solve for x
    x = 46,670,581,139.06/143,930.25
  6. Step 6: Final answer
    x = 324,258.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.