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Finding the Third Proportional to 132,290 and 198,735

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Solution

The third proportional to 132,290 and 198,735 is: 298,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,290 : 198,735 = 198,735 : x
  2. Step 2: Convert to fraction form
    132,290/198,735 = 198,735/x
  3. Step 3: Cross multiply
    132,290x = 198,735 × 198,735
  4. Step 4: Simplify right side
    132,290x = 39,495,600,225
  5. Step 5: Solve for x
    x = 39,495,600,225/132,290
  6. Step 6: Final answer
    x = 298,553.18

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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.