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Finding the Third Proportional to 175,248 and 271,860

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Solution

The third proportional to 175,248 and 271,860 is: 421,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,248 : 271,860 = 271,860 : x
  2. Step 2: Convert to fraction form
    175,248/271,860 = 271,860/x
  3. Step 3: Cross multiply
    175,248x = 271,860 × 271,860
  4. Step 4: Simplify right side
    175,248x = 73,907,859,600
  5. Step 5: Solve for x
    x = 73,907,859,600/175,248
  6. Step 6: Final answer
    x = 421,732.97

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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.