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Finding the Third Proportional to 127,183.50 and 264,834.56

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Solution

The third proportional to 127,183.50 and 264,834.56 is: 551,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,183.50 : 264,834.56 = 264,834.56 : x
  2. Step 2: Convert to fraction form
    127,183.50/264,834.56 = 264,834.56/x
  3. Step 3: Cross multiply
    127,183.50x = 264,834.56 × 264,834.56
  4. Step 4: Simplify right side
    127,183.50x = 70,137,345,494.57
  5. Step 5: Solve for x
    x = 70,137,345,494.57/127,183.50
  6. Step 6: Final answer
    x = 551,465.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.