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Finding the Third Proportional to 170,475.75 and 255,714

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Solution

The third proportional to 170,475.75 and 255,714 is: 383,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,475.75 : 255,714 = 255,714 : x
  2. Step 2: Convert to fraction form
    170,475.75/255,714 = 255,714/x
  3. Step 3: Cross multiply
    170,475.75x = 255,714 × 255,714
  4. Step 4: Simplify right side
    170,475.75x = 65,389,649,796
  5. Step 5: Solve for x
    x = 65,389,649,796/170,475.75
  6. Step 6: Final answer
    x = 383,571.56

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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.