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Finding the Third Proportional to 131,256 and 198,450

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Solution

The third proportional to 131,256 and 198,450 is: 300,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,256 : 198,450 = 198,450 : x
  2. Step 2: Convert to fraction form
    131,256/198,450 = 198,450/x
  3. Step 3: Cross multiply
    131,256x = 198,450 × 198,450
  4. Step 4: Simplify right side
    131,256x = 39,382,402,500
  5. Step 5: Solve for x
    x = 39,382,402,500/131,256
  6. Step 6: Final answer
    x = 300,042.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.