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Finding the Third Proportional to 180,204 and 259,578

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Solution

The third proportional to 180,204 and 259,578 is: 373,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,204 : 259,578 = 259,578 : x
  2. Step 2: Convert to fraction form
    180,204/259,578 = 259,578/x
  3. Step 3: Cross multiply
    180,204x = 259,578 × 259,578
  4. Step 4: Simplify right side
    180,204x = 67,380,738,084
  5. Step 5: Solve for x
    x = 67,380,738,084/180,204
  6. Step 6: Final answer
    x = 373,913.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.