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Finding the Third Proportional to 155,997 and 334,170

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Solution

The third proportional to 155,997 and 334,170 is: 715,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,997 : 334,170 = 334,170 : x
  2. Step 2: Convert to fraction form
    155,997/334,170 = 334,170/x
  3. Step 3: Cross multiply
    155,997x = 334,170 × 334,170
  4. Step 4: Simplify right side
    155,997x = 111,669,588,900
  5. Step 5: Solve for x
    x = 111,669,588,900/155,997
  6. Step 6: Final answer
    x = 715,844.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.