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Finding the Third Proportional to 170,480.31 and 255,720.44

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Solution

The third proportional to 170,480.31 and 255,720.44 is: 383,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,480.31 : 255,720.44 = 255,720.44 : x
  2. Step 2: Convert to fraction form
    170,480.31/255,720.44 = 255,720.44/x
  3. Step 3: Cross multiply
    170,480.31x = 255,720.44 × 255,720.44
  4. Step 4: Simplify right side
    170,480.31x = 65,392,942,155.19
  5. Step 5: Solve for x
    x = 65,392,942,155.19/170,480.31
  6. Step 6: Final answer
    x = 383,580.61

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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.