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Finding the Third Proportional to 179,971 and 263,044

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Solution

The third proportional to 179,971 and 263,044 is: 384,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971 : 263,044 = 263,044 : x
  2. Step 2: Convert to fraction form
    179,971/263,044 = 263,044/x
  3. Step 3: Cross multiply
    179,971x = 263,044 × 263,044
  4. Step 4: Simplify right side
    179,971x = 69,192,145,936
  5. Step 5: Solve for x
    x = 69,192,145,936/179,971
  6. Step 6: Final answer
    x = 384,462.75

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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.