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Finding the Third Proportional to 240,406 and 366,965

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Solution

The third proportional to 240,406 and 366,965 is: 560,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,406 : 366,965 = 366,965 : x
  2. Step 2: Convert to fraction form
    240,406/366,965 = 366,965/x
  3. Step 3: Cross multiply
    240,406x = 366,965 × 366,965
  4. Step 4: Simplify right side
    240,406x = 134,663,311,225
  5. Step 5: Solve for x
    x = 134,663,311,225/240,406
  6. Step 6: Final answer
    x = 560,149.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.