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Finding the Third Proportional to 171,414 and 372,311

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Solution

The third proportional to 171,414 and 372,311 is: 808,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,414 : 372,311 = 372,311 : x
  2. Step 2: Convert to fraction form
    171,414/372,311 = 372,311/x
  3. Step 3: Cross multiply
    171,414x = 372,311 × 372,311
  4. Step 4: Simplify right side
    171,414x = 138,615,480,721
  5. Step 5: Solve for x
    x = 138,615,480,721/171,414
  6. Step 6: Final answer
    x = 808,659.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.