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Finding the Third Proportional to 197,568 and 426,724

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Solution

The third proportional to 197,568 and 426,724 is: 921,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,568 : 426,724 = 426,724 : x
  2. Step 2: Convert to fraction form
    197,568/426,724 = 426,724/x
  3. Step 3: Cross multiply
    197,568x = 426,724 × 426,724
  4. Step 4: Simplify right side
    197,568x = 182,093,372,176
  5. Step 5: Solve for x
    x = 182,093,372,176/197,568
  6. Step 6: Final answer
    x = 921,674.42

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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.