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Finding the Third Proportional to 179,969 and 263,041

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Solution

The third proportional to 179,969 and 263,041 is: 384,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,969 : 263,041 = 263,041 : x
  2. Step 2: Convert to fraction form
    179,969/263,041 = 263,041/x
  3. Step 3: Cross multiply
    179,969x = 263,041 × 263,041
  4. Step 4: Simplify right side
    179,969x = 69,190,567,681
  5. Step 5: Solve for x
    x = 69,190,567,681/179,969
  6. Step 6: Final answer
    x = 384,458.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.