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Finding the Third Proportional to 131,373 and 196,789.50

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Solution

The third proportional to 131,373 and 196,789.50 is: 294,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,373 : 196,789.50 = 196,789.50 : x
  2. Step 2: Convert to fraction form
    131,373/196,789.50 = 196,789.50/x
  3. Step 3: Cross multiply
    131,373x = 196,789.50 × 196,789.50
  4. Step 4: Simplify right side
    131,373x = 38,726,107,310.25
  5. Step 5: Solve for x
    x = 38,726,107,310.25/131,373
  6. Step 6: Final answer
    x = 294,779.80

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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.