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Finding the Third Proportional to 120,917 and 259,330

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Solution

The third proportional to 120,917 and 259,330 is: 556,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,917 : 259,330 = 259,330 : x
  2. Step 2: Convert to fraction form
    120,917/259,330 = 259,330/x
  3. Step 3: Cross multiply
    120,917x = 259,330 × 259,330
  4. Step 4: Simplify right side
    120,917x = 67,252,048,900
  5. Step 5: Solve for x
    x = 67,252,048,900/120,917
  6. Step 6: Final answer
    x = 556,183.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.