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Finding the Third Proportional to 197,608 and 426,112

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Solution

The third proportional to 197,608 and 426,112 is: 918,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,608 : 426,112 = 426,112 : x
  2. Step 2: Convert to fraction form
    197,608/426,112 = 426,112/x
  3. Step 3: Cross multiply
    197,608x = 426,112 × 426,112
  4. Step 4: Simplify right side
    197,608x = 181,571,436,544
  5. Step 5: Solve for x
    x = 181,571,436,544/197,608
  6. Step 6: Final answer
    x = 918,846.59

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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.