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Finding the Third Proportional to 273,162.94 and 557,169.19

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Solution

The third proportional to 273,162.94 and 557,169.19 is: 1,136,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,162.94 : 557,169.19 = 557,169.19 : x
  2. Step 2: Convert to fraction form
    273,162.94/557,169.19 = 557,169.19/x
  3. Step 3: Cross multiply
    273,162.94x = 557,169.19 × 557,169.19
  4. Step 4: Simplify right side
    273,162.94x = 310,437,503,499.41
  5. Step 5: Solve for x
    x = 310,437,503,499.41/273,162.94
  6. Step 6: Final answer
    x = 1,136,455.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.