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Finding the Third Proportional to 120,165.75 and 255,863.25

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Solution

The third proportional to 120,165.75 and 255,863.25 is: 544,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.75 : 255,863.25 = 255,863.25 : x
  2. Step 2: Convert to fraction form
    120,165.75/255,863.25 = 255,863.25/x
  3. Step 3: Cross multiply
    120,165.75x = 255,863.25 × 255,863.25
  4. Step 4: Simplify right side
    120,165.75x = 65,466,002,700.56
  5. Step 5: Solve for x
    x = 65,466,002,700.56/120,165.75
  6. Step 6: Final answer
    x = 544,797.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.