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Finding the Third Proportional to 170,055 and 254,193

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Solution

The third proportional to 170,055 and 254,193 is: 379,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,055 : 254,193 = 254,193 : x
  2. Step 2: Convert to fraction form
    170,055/254,193 = 254,193/x
  3. Step 3: Cross multiply
    170,055x = 254,193 × 254,193
  4. Step 4: Simplify right side
    170,055x = 64,614,081,249
  5. Step 5: Solve for x
    x = 64,614,081,249/170,055
  6. Step 6: Final answer
    x = 379,959.90

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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.