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Finding the Third Proportional to 114,643.50 and 246,864

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Solution

The third proportional to 114,643.50 and 246,864 is: 531,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,643.50 : 246,864 = 246,864 : x
  2. Step 2: Convert to fraction form
    114,643.50/246,864 = 246,864/x
  3. Step 3: Cross multiply
    114,643.50x = 246,864 × 246,864
  4. Step 4: Simplify right side
    114,643.50x = 60,941,834,496
  5. Step 5: Solve for x
    x = 60,941,834,496/114,643.50
  6. Step 6: Final answer
    x = 531,576.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.