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Finding the Third Proportional to 129,378.94 and 274,134.38

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Solution

The third proportional to 129,378.94 and 274,134.38 is: 580,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,378.94 : 274,134.38 = 274,134.38 : x
  2. Step 2: Convert to fraction form
    129,378.94/274,134.38 = 274,134.38/x
  3. Step 3: Cross multiply
    129,378.94x = 274,134.38 × 274,134.38
  4. Step 4: Simplify right side
    129,378.94x = 75,149,655,556.64
  5. Step 5: Solve for x
    x = 75,149,655,556.64/129,378.94
  6. Step 6: Final answer
    x = 580,849.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.