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Finding the Third Proportional to 171,738 and 348,327

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Solution

The third proportional to 171,738 and 348,327 is: 706,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,738 : 348,327 = 348,327 : x
  2. Step 2: Convert to fraction form
    171,738/348,327 = 348,327/x
  3. Step 3: Cross multiply
    171,738x = 348,327 × 348,327
  4. Step 4: Simplify right side
    171,738x = 121,331,698,929
  5. Step 5: Solve for x
    x = 121,331,698,929/171,738
  6. Step 6: Final answer
    x = 706,493.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.