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Finding the Third Proportional to 140,736 and 197,568

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Solution

The third proportional to 140,736 and 197,568 is: 277,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,736 : 197,568 = 197,568 : x
  2. Step 2: Convert to fraction form
    140,736/197,568 = 197,568/x
  3. Step 3: Cross multiply
    140,736x = 197,568 × 197,568
  4. Step 4: Simplify right side
    140,736x = 39,033,114,624
  5. Step 5: Solve for x
    x = 39,033,114,624/140,736
  6. Step 6: Final answer
    x = 277,349.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.