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Finding the Third Proportional to 254,100 and 543,204

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Solution

The third proportional to 254,100 and 543,204 is: 1,161,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,100 : 543,204 = 543,204 : x
  2. Step 2: Convert to fraction form
    254,100/543,204 = 543,204/x
  3. Step 3: Cross multiply
    254,100x = 543,204 × 543,204
  4. Step 4: Simplify right side
    254,100x = 295,070,585,616
  5. Step 5: Solve for x
    x = 295,070,585,616/254,100
  6. Step 6: Final answer
    x = 1,161,238.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.