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Finding the Third Proportional to 204,268 and 305,166

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Solution

The third proportional to 204,268 and 305,166 is: 455,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,268 : 305,166 = 305,166 : x
  2. Step 2: Convert to fraction form
    204,268/305,166 = 305,166/x
  3. Step 3: Cross multiply
    204,268x = 305,166 × 305,166
  4. Step 4: Simplify right side
    204,268x = 93,126,287,556
  5. Step 5: Solve for x
    x = 93,126,287,556/204,268
  6. Step 6: Final answer
    x = 455,902.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.