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Finding the Third Proportional to 179,296 and 263,760

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Solution

The third proportional to 179,296 and 263,760 is: 388,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,296 : 263,760 = 263,760 : x
  2. Step 2: Convert to fraction form
    179,296/263,760 = 263,760/x
  3. Step 3: Cross multiply
    179,296x = 263,760 × 263,760
  4. Step 4: Simplify right side
    179,296x = 69,569,337,600
  5. Step 5: Solve for x
    x = 69,569,337,600/179,296
  6. Step 6: Final answer
    x = 388,013.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.