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Finding the Third Proportional to 159,077.25 and 233,268.75

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Solution

The third proportional to 159,077.25 and 233,268.75 is: 342,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,077.25 : 233,268.75 = 233,268.75 : x
  2. Step 2: Convert to fraction form
    159,077.25/233,268.75 = 233,268.75/x
  3. Step 3: Cross multiply
    159,077.25x = 233,268.75 × 233,268.75
  4. Step 4: Simplify right side
    159,077.25x = 54,414,309,726.56
  5. Step 5: Solve for x
    x = 54,414,309,726.56/159,077.25
  6. Step 6: Final answer
    x = 342,062.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.