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Finding the Third Proportional to 117,615.38 and 254,022.75

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Solution

The third proportional to 117,615.38 and 254,022.75 is: 548,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615.38 : 254,022.75 = 254,022.75 : x
  2. Step 2: Convert to fraction form
    117,615.38/254,022.75 = 254,022.75/x
  3. Step 3: Cross multiply
    117,615.38x = 254,022.75 × 254,022.75
  4. Step 4: Simplify right side
    117,615.38x = 64,527,557,517.56
  5. Step 5: Solve for x
    x = 64,527,557,517.56/117,615.38
  6. Step 6: Final answer
    x = 548,631.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.