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Finding the Third Proportional to 108,960.75 and 236,015.25

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Solution

The third proportional to 108,960.75 and 236,015.25 is: 511,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,960.75 : 236,015.25 = 236,015.25 : x
  2. Step 2: Convert to fraction form
    108,960.75/236,015.25 = 236,015.25/x
  3. Step 3: Cross multiply
    108,960.75x = 236,015.25 × 236,015.25
  4. Step 4: Simplify right side
    108,960.75x = 55,703,198,232.56
  5. Step 5: Solve for x
    x = 55,703,198,232.56/108,960.75
  6. Step 6: Final answer
    x = 511,222.60

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Why These Related Problems?

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