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Finding the Third Proportional to 175,348 and 271,206

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Solution

The third proportional to 175,348 and 271,206 is: 419,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,348 : 271,206 = 271,206 : x
  2. Step 2: Convert to fraction form
    175,348/271,206 = 271,206/x
  3. Step 3: Cross multiply
    175,348x = 271,206 × 271,206
  4. Step 4: Simplify right side
    175,348x = 73,552,694,436
  5. Step 5: Solve for x
    x = 73,552,694,436/175,348
  6. Step 6: Final answer
    x = 419,466.97

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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.