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Finding the Third Proportional to 117,497.25 and 241,216.31

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Solution

The third proportional to 117,497.25 and 241,216.31 is: 495,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,497.25 : 241,216.31 = 241,216.31 : x
  2. Step 2: Convert to fraction form
    117,497.25/241,216.31 = 241,216.31/x
  3. Step 3: Cross multiply
    117,497.25x = 241,216.31 × 241,216.31
  4. Step 4: Simplify right side
    117,497.25x = 58,185,309,416.10
  5. Step 5: Solve for x
    x = 58,185,309,416.10/117,497.25
  6. Step 6: Final answer
    x = 495,205.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.