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Finding the Third Proportional to 194,936.63 and 244,016.30

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Solution

The third proportional to 194,936.63 and 244,016.30 is: 305,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,936.63 : 244,016.30 = 244,016.30 : x
  2. Step 2: Convert to fraction form
    194,936.63/244,016.30 = 244,016.30/x
  3. Step 3: Cross multiply
    194,936.63x = 244,016.30 × 244,016.30
  4. Step 4: Simplify right side
    194,936.63x = 59,543,953,140.59
  5. Step 5: Solve for x
    x = 59,543,953,140.59/194,936.63
  6. Step 6: Final answer
    x = 305,452.88

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.