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Finding the Third Proportional to 129,350.25 and 274,353.75

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Solution

The third proportional to 129,350.25 and 274,353.75 is: 581,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,350.25 : 274,353.75 = 274,353.75 : x
  2. Step 2: Convert to fraction form
    129,350.25/274,353.75 = 274,353.75/x
  3. Step 3: Cross multiply
    129,350.25x = 274,353.75 × 274,353.75
  4. Step 4: Simplify right side
    129,350.25x = 75,269,980,139.06
  5. Step 5: Solve for x
    x = 75,269,980,139.06/129,350.25
  6. Step 6: Final answer
    x = 581,908.27

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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.