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Finding the Third Proportional to 133,212 and 197,796

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Solution

The third proportional to 133,212 and 197,796 is: 293,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212 : 197,796 = 197,796 : x
  2. Step 2: Convert to fraction form
    133,212/197,796 = 197,796/x
  3. Step 3: Cross multiply
    133,212x = 197,796 × 197,796
  4. Step 4: Simplify right side
    133,212x = 39,123,257,616
  5. Step 5: Solve for x
    x = 39,123,257,616/133,212
  6. Step 6: Final answer
    x = 293,691.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.