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Finding the Third Proportional to 204,956 and 434,200

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Solution

The third proportional to 204,956 and 434,200 is: 919,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,956 : 434,200 = 434,200 : x
  2. Step 2: Convert to fraction form
    204,956/434,200 = 434,200/x
  3. Step 3: Cross multiply
    204,956x = 434,200 × 434,200
  4. Step 4: Simplify right side
    204,956x = 188,529,640,000
  5. Step 5: Solve for x
    x = 188,529,640,000/204,956
  6. Step 6: Final answer
    x = 919,854.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.