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Finding the Third Proportional to 115,197.75 and 236,135.25

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Solution

The third proportional to 115,197.75 and 236,135.25 is: 484,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197.75 : 236,135.25 = 236,135.25 : x
  2. Step 2: Convert to fraction form
    115,197.75/236,135.25 = 236,135.25/x
  3. Step 3: Cross multiply
    115,197.75x = 236,135.25 × 236,135.25
  4. Step 4: Simplify right side
    115,197.75x = 55,759,856,292.56
  5. Step 5: Solve for x
    x = 55,759,856,292.56/115,197.75
  6. Step 6: Final answer
    x = 484,035.98

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