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Finding the Third Proportional to 170,016.75 and 255,053.25

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Solution

The third proportional to 170,016.75 and 255,053.25 is: 382,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,016.75 : 255,053.25 = 255,053.25 : x
  2. Step 2: Convert to fraction form
    170,016.75/255,053.25 = 255,053.25/x
  3. Step 3: Cross multiply
    170,016.75x = 255,053.25 × 255,053.25
  4. Step 4: Simplify right side
    170,016.75x = 65,052,160,335.56
  5. Step 5: Solve for x
    x = 65,052,160,335.56/170,016.75
  6. Step 6: Final answer
    x = 382,622.07

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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.