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Finding the Third Proportional to 122,246 and 255,589

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Solution

The third proportional to 122,246 and 255,589 is: 534,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,246 : 255,589 = 255,589 : x
  2. Step 2: Convert to fraction form
    122,246/255,589 = 255,589/x
  3. Step 3: Cross multiply
    122,246x = 255,589 × 255,589
  4. Step 4: Simplify right side
    122,246x = 65,325,736,921
  5. Step 5: Solve for x
    x = 65,325,736,921/122,246
  6. Step 6: Final answer
    x = 534,379.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.