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Finding the Third Proportional to 197,192 and 295,692

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Solution

The third proportional to 197,192 and 295,692 is: 443,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,192 : 295,692 = 295,692 : x
  2. Step 2: Convert to fraction form
    197,192/295,692 = 295,692/x
  3. Step 3: Cross multiply
    197,192x = 295,692 × 295,692
  4. Step 4: Simplify right side
    197,192x = 87,433,758,864
  5. Step 5: Solve for x
    x = 87,433,758,864/197,192
  6. Step 6: Final answer
    x = 443,394.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.