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Finding the Third Proportional to 197,568 and 426,012

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Solution

The third proportional to 197,568 and 426,012 is: 918,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,568 : 426,012 = 426,012 : x
  2. Step 2: Convert to fraction form
    197,568/426,012 = 426,012/x
  3. Step 3: Cross multiply
    197,568x = 426,012 × 426,012
  4. Step 4: Simplify right side
    197,568x = 181,486,224,144
  5. Step 5: Solve for x
    x = 181,486,224,144/197,568
  6. Step 6: Final answer
    x = 918,601.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.