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Finding the Third Proportional to 177,851 and 271,293

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Solution

The third proportional to 177,851 and 271,293 is: 413,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,851 : 271,293 = 271,293 : x
  2. Step 2: Convert to fraction form
    177,851/271,293 = 271,293/x
  3. Step 3: Cross multiply
    177,851x = 271,293 × 271,293
  4. Step 4: Simplify right side
    177,851x = 73,599,891,849
  5. Step 5: Solve for x
    x = 73,599,891,849/177,851
  6. Step 6: Final answer
    x = 413,828.95

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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.