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Finding the Third Proportional to 177,862 and 271,311

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Solution

The third proportional to 177,862 and 271,311 is: 413,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,862 : 271,311 = 271,311 : x
  2. Step 2: Convert to fraction form
    177,862/271,311 = 271,311/x
  3. Step 3: Cross multiply
    177,862x = 271,311 × 271,311
  4. Step 4: Simplify right side
    177,862x = 73,609,658,721
  5. Step 5: Solve for x
    x = 73,609,658,721/177,862
  6. Step 6: Final answer
    x = 413,858.26

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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.