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Finding the Third Proportional to 120,168 and 255,864

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Solution

The third proportional to 120,168 and 255,864 is: 544,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168 : 255,864 = 255,864 : x
  2. Step 2: Convert to fraction form
    120,168/255,864 = 255,864/x
  3. Step 3: Cross multiply
    120,168x = 255,864 × 255,864
  4. Step 4: Simplify right side
    120,168x = 65,466,386,496
  5. Step 5: Solve for x
    x = 65,466,386,496/120,168
  6. Step 6: Final answer
    x = 544,790.51

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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.