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Finding the Third Proportional to 190,565.75 and 414,345.25

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Solution

The third proportional to 190,565.75 and 414,345.25 is: 900,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,565.75 : 414,345.25 = 414,345.25 : x
  2. Step 2: Convert to fraction form
    190,565.75/414,345.25 = 414,345.25/x
  3. Step 3: Cross multiply
    190,565.75x = 414,345.25 × 414,345.25
  4. Step 4: Simplify right side
    190,565.75x = 171,681,986,197.56
  5. Step 5: Solve for x
    x = 171,681,986,197.56/190,565.75
  6. Step 6: Final answer
    x = 900,906.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.