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Finding the Third Proportional to 273,169.13 and 557,182.13

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Solution

The third proportional to 273,169.13 and 557,182.13 is: 1,136,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,169.13 : 557,182.13 = 557,182.13 : x
  2. Step 2: Convert to fraction form
    273,169.13/557,182.13 = 557,182.13/x
  3. Step 3: Cross multiply
    273,169.13x = 557,182.13 × 557,182.13
  4. Step 4: Simplify right side
    273,169.13x = 310,451,920,419.52
  5. Step 5: Solve for x
    x = 310,451,920,419.52/273,169.13
  6. Step 6: Final answer
    x = 1,136,482.46

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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.