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Finding the Third Proportional to 195,781.75 and 414,727.75

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Solution

The third proportional to 195,781.75 and 414,727.75 is: 878,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,781.75 : 414,727.75 = 414,727.75 : x
  2. Step 2: Convert to fraction form
    195,781.75/414,727.75 = 414,727.75/x
  3. Step 3: Cross multiply
    195,781.75x = 414,727.75 × 414,727.75
  4. Step 4: Simplify right side
    195,781.75x = 171,999,106,620.06
  5. Step 5: Solve for x
    x = 171,999,106,620.06/195,781.75
  6. Step 6: Final answer
    x = 878,524.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.