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Finding the Third Proportional to 170,844.75 and 254,855.25

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Solution

The third proportional to 170,844.75 and 254,855.25 is: 380,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,844.75 : 254,855.25 = 254,855.25 : x
  2. Step 2: Convert to fraction form
    170,844.75/254,855.25 = 254,855.25/x
  3. Step 3: Cross multiply
    170,844.75x = 254,855.25 × 254,855.25
  4. Step 4: Simplify right side
    170,844.75x = 64,951,198,452.56
  5. Step 5: Solve for x
    x = 64,951,198,452.56/170,844.75
  6. Step 6: Final answer
    x = 380,176.73

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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.