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Finding the Third Proportional to 132,032.75 and 198,682.50

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Solution

The third proportional to 132,032.75 and 198,682.50 is: 298,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032.75 : 198,682.50 = 198,682.50 : x
  2. Step 2: Convert to fraction form
    132,032.75/198,682.50 = 198,682.50/x
  3. Step 3: Cross multiply
    132,032.75x = 198,682.50 × 198,682.50
  4. Step 4: Simplify right side
    132,032.75x = 39,474,735,806.25
  5. Step 5: Solve for x
    x = 39,474,735,806.25/132,032.75
  6. Step 6: Final answer
    x = 298,976.85

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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.