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Finding the Third Proportional to 204,954 and 434,196

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Solution

The third proportional to 204,954 and 434,196 is: 919,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,954 : 434,196 = 434,196 : x
  2. Step 2: Convert to fraction form
    204,954/434,196 = 434,196/x
  3. Step 3: Cross multiply
    204,954x = 434,196 × 434,196
  4. Step 4: Simplify right side
    204,954x = 188,526,166,416
  5. Step 5: Solve for x
    x = 188,526,166,416/204,954
  6. Step 6: Final answer
    x = 919,846.24

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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.