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Finding the Third Proportional to 170,998.88 and 255,540.75

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Solution

The third proportional to 170,998.88 and 255,540.75 is: 381,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,998.88 : 255,540.75 = 255,540.75 : x
  2. Step 2: Convert to fraction form
    170,998.88/255,540.75 = 255,540.75/x
  3. Step 3: Cross multiply
    170,998.88x = 255,540.75 × 255,540.75
  4. Step 4: Simplify right side
    170,998.88x = 65,301,074,910.56
  5. Step 5: Solve for x
    x = 65,301,074,910.56/170,998.88
  6. Step 6: Final answer
    x = 381,880.14

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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.