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Finding the Third Proportional to 167,820 and 364,857

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Solution

The third proportional to 167,820 and 364,857 is: 793,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,820 : 364,857 = 364,857 : x
  2. Step 2: Convert to fraction form
    167,820/364,857 = 364,857/x
  3. Step 3: Cross multiply
    167,820x = 364,857 × 364,857
  4. Step 4: Simplify right side
    167,820x = 133,120,630,449
  5. Step 5: Solve for x
    x = 133,120,630,449/167,820
  6. Step 6: Final answer
    x = 793,234.60

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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.