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Finding the Third Proportional to 144,443.25 and 322,079.25

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Solution

The third proportional to 144,443.25 and 322,079.25 is: 718,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,443.25 : 322,079.25 = 322,079.25 : x
  2. Step 2: Convert to fraction form
    144,443.25/322,079.25 = 322,079.25/x
  3. Step 3: Cross multiply
    144,443.25x = 322,079.25 × 322,079.25
  4. Step 4: Simplify right side
    144,443.25x = 103,735,043,280.56
  5. Step 5: Solve for x
    x = 103,735,043,280.56/144,443.25
  6. Step 6: Final answer
    x = 718,171.62

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.