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Finding the Third Proportional to 188,997 and 292,425

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Solution

The third proportional to 188,997 and 292,425 is: 452,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,997 : 292,425 = 292,425 : x
  2. Step 2: Convert to fraction form
    188,997/292,425 = 292,425/x
  3. Step 3: Cross multiply
    188,997x = 292,425 × 292,425
  4. Step 4: Simplify right side
    188,997x = 85,512,380,625
  5. Step 5: Solve for x
    x = 85,512,380,625/188,997
  6. Step 6: Final answer
    x = 452,453.64

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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.