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Finding the Third Proportional to 170,481.50 and 255,722

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Solution

The third proportional to 170,481.50 and 255,722 is: 383,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,481.50 : 255,722 = 255,722 : x
  2. Step 2: Convert to fraction form
    170,481.50/255,722 = 255,722/x
  3. Step 3: Cross multiply
    170,481.50x = 255,722 × 255,722
  4. Step 4: Simplify right side
    170,481.50x = 65,393,741,284
  5. Step 5: Solve for x
    x = 65,393,741,284/170,481.50
  6. Step 6: Final answer
    x = 383,582.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.