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Finding the Third Proportional to 132,840 and 197,379

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Solution

The third proportional to 132,840 and 197,379 is: 293,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,840 : 197,379 = 197,379 : x
  2. Step 2: Convert to fraction form
    132,840/197,379 = 197,379/x
  3. Step 3: Cross multiply
    132,840x = 197,379 × 197,379
  4. Step 4: Simplify right side
    132,840x = 38,958,469,641
  5. Step 5: Solve for x
    x = 38,958,469,641/132,840
  6. Step 6: Final answer
    x = 293,273.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.