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Finding the Third Proportional to 131,042.25 and 196,357.50

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Solution

The third proportional to 131,042.25 and 196,357.50 is: 294,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,042.25 : 196,357.50 = 196,357.50 : x
  2. Step 2: Convert to fraction form
    131,042.25/196,357.50 = 196,357.50/x
  3. Step 3: Cross multiply
    131,042.25x = 196,357.50 × 196,357.50
  4. Step 4: Simplify right side
    131,042.25x = 38,556,267,806.25
  5. Step 5: Solve for x
    x = 38,556,267,806.25/131,042.25
  6. Step 6: Final answer
    x = 294,227.76

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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.