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Finding the Third Proportional to 165,557.25 and 256,293.75

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Solution

The third proportional to 165,557.25 and 256,293.75 is: 396,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,557.25 : 256,293.75 = 256,293.75 : x
  2. Step 2: Convert to fraction form
    165,557.25/256,293.75 = 256,293.75/x
  3. Step 3: Cross multiply
    165,557.25x = 256,293.75 × 256,293.75
  4. Step 4: Simplify right side
    165,557.25x = 65,686,486,289.06
  5. Step 5: Solve for x
    x = 65,686,486,289.06/165,557.25
  6. Step 6: Final answer
    x = 396,759.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.