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Finding the Third Proportional to 120,404 and 178,869

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Solution

The third proportional to 120,404 and 178,869 is: 265,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,404 : 178,869 = 178,869 : x
  2. Step 2: Convert to fraction form
    120,404/178,869 = 178,869/x
  3. Step 3: Cross multiply
    120,404x = 178,869 × 178,869
  4. Step 4: Simplify right side
    120,404x = 31,994,119,161
  5. Step 5: Solve for x
    x = 31,994,119,161/120,404
  6. Step 6: Final answer
    x = 265,723.06

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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.