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Finding the Third Proportional to 132,201.94 and 198,596.06

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Solution

The third proportional to 132,201.94 and 198,596.06 is: 298,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,201.94 : 198,596.06 = 198,596.06 : x
  2. Step 2: Convert to fraction form
    132,201.94/198,596.06 = 198,596.06/x
  3. Step 3: Cross multiply
    132,201.94x = 198,596.06 × 198,596.06
  4. Step 4: Simplify right side
    132,201.94x = 39,440,396,040.50
  5. Step 5: Solve for x
    x = 39,440,396,040.50/132,201.94
  6. Step 6: Final answer
    x = 298,334.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.