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Finding the Third Proportional to 177,168 and 269,031

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Solution

The third proportional to 177,168 and 269,031 is: 408,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,168 : 269,031 = 269,031 : x
  2. Step 2: Convert to fraction form
    177,168/269,031 = 269,031/x
  3. Step 3: Cross multiply
    177,168x = 269,031 × 269,031
  4. Step 4: Simplify right side
    177,168x = 72,377,678,961
  5. Step 5: Solve for x
    x = 72,377,678,961/177,168
  6. Step 6: Final answer
    x = 408,525.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.