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Finding the Third Proportional to 250,355 and 543,181

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Solution

The third proportional to 250,355 and 543,181 is: 1,178,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,355 : 543,181 = 543,181 : x
  2. Step 2: Convert to fraction form
    250,355/543,181 = 543,181/x
  3. Step 3: Cross multiply
    250,355x = 543,181 × 543,181
  4. Step 4: Simplify right side
    250,355x = 295,045,598,761
  5. Step 5: Solve for x
    x = 295,045,598,761/250,355
  6. Step 6: Final answer
    x = 1,178,508.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.