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Finding the Third Proportional to 115,615.97 and 252,186.47

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Solution

The third proportional to 115,615.97 and 252,186.47 is: 550,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,615.97 : 252,186.47 = 252,186.47 : x
  2. Step 2: Convert to fraction form
    115,615.97/252,186.47 = 252,186.47/x
  3. Step 3: Cross multiply
    115,615.97x = 252,186.47 × 252,186.47
  4. Step 4: Simplify right side
    115,615.97x = 63,598,015,020.59
  5. Step 5: Solve for x
    x = 63,598,015,020.59/115,615.97
  6. Step 6: Final answer
    x = 550,079.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.