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Finding the Third Proportional to 129,608.25 and 269,565.75

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Solution

The third proportional to 129,608.25 and 269,565.75 is: 560,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,608.25 : 269,565.75 = 269,565.75 : x
  2. Step 2: Convert to fraction form
    129,608.25/269,565.75 = 269,565.75/x
  3. Step 3: Cross multiply
    129,608.25x = 269,565.75 × 269,565.75
  4. Step 4: Simplify right side
    129,608.25x = 72,665,693,573.06
  5. Step 5: Solve for x
    x = 72,665,693,573.06/129,608.25
  6. Step 6: Final answer
    x = 560,656.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.