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Finding the Third Proportional to 175,092 and 271,638

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Solution

The third proportional to 175,092 and 271,638 is: 421,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,092 : 271,638 = 271,638 : x
  2. Step 2: Convert to fraction form
    175,092/271,638 = 271,638/x
  3. Step 3: Cross multiply
    175,092x = 271,638 × 271,638
  4. Step 4: Simplify right side
    175,092x = 73,787,203,044
  5. Step 5: Solve for x
    x = 73,787,203,044/175,092
  6. Step 6: Final answer
    x = 421,419.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.