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Finding the Third Proportional to 115,902 and 268,314.75

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Solution

The third proportional to 115,902 and 268,314.75 is: 621,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,902 : 268,314.75 = 268,314.75 : x
  2. Step 2: Convert to fraction form
    115,902/268,314.75 = 268,314.75/x
  3. Step 3: Cross multiply
    115,902x = 268,314.75 × 268,314.75
  4. Step 4: Simplify right side
    115,902x = 71,992,805,067.56
  5. Step 5: Solve for x
    x = 71,992,805,067.56/115,902
  6. Step 6: Final answer
    x = 621,152.40

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.