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Finding the Third Proportional to 143,079.56 and 194,321.06

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Solution

The third proportional to 143,079.56 and 194,321.06 is: 263,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,079.56 : 194,321.06 = 194,321.06 : x
  2. Step 2: Convert to fraction form
    143,079.56/194,321.06 = 194,321.06/x
  3. Step 3: Cross multiply
    143,079.56x = 194,321.06 × 194,321.06
  4. Step 4: Simplify right side
    143,079.56x = 37,760,675,331.13
  5. Step 5: Solve for x
    x = 37,760,675,331.13/143,079.56
  6. Step 6: Final answer
    x = 263,913.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.