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Finding the Third Proportional to 92,289 and 197,375

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Solution

The third proportional to 92,289 and 197,375 is: 422,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,289 : 197,375 = 197,375 : x
  2. Step 2: Convert to fraction form
    92,289/197,375 = 197,375/x
  3. Step 3: Cross multiply
    92,289x = 197,375 × 197,375
  4. Step 4: Simplify right side
    92,289x = 38,956,890,625
  5. Step 5: Solve for x
    x = 38,956,890,625/92,289
  6. Step 6: Final answer
    x = 422,118.46

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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.