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Finding the Third Proportional to 168,648 and 254,079

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Solution

The third proportional to 168,648 and 254,079 is: 382,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,648 : 254,079 = 254,079 : x
  2. Step 2: Convert to fraction form
    168,648/254,079 = 254,079/x
  3. Step 3: Cross multiply
    168,648x = 254,079 × 254,079
  4. Step 4: Simplify right side
    168,648x = 64,556,138,241
  5. Step 5: Solve for x
    x = 64,556,138,241/168,648
  6. Step 6: Final answer
    x = 382,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.