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Finding the Third Proportional to 198,060.19 and 227,584.69

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Solution

The third proportional to 198,060.19 and 227,584.69 is: 261,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,060.19 : 227,584.69 = 227,584.69 : x
  2. Step 2: Convert to fraction form
    198,060.19/227,584.69 = 227,584.69/x
  3. Step 3: Cross multiply
    198,060.19x = 227,584.69 × 227,584.69
  4. Step 4: Simplify right side
    198,060.19x = 51,794,789,984.47
  5. Step 5: Solve for x
    x = 51,794,789,984.47/198,060.19
  6. Step 6: Final answer
    x = 261,510.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.