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Finding the Third Proportional to 131,444.25 and 196,942.50

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Solution

The third proportional to 131,444.25 and 196,942.50 is: 295,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,444.25 : 196,942.50 = 196,942.50 : x
  2. Step 2: Convert to fraction form
    131,444.25/196,942.50 = 196,942.50/x
  3. Step 3: Cross multiply
    131,444.25x = 196,942.50 × 196,942.50
  4. Step 4: Simplify right side
    131,444.25x = 38,786,348,306.25
  5. Step 5: Solve for x
    x = 38,786,348,306.25/131,444.25
  6. Step 6: Final answer
    x = 295,078.32

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