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Finding the Third Proportional to 197,190 and 431,689

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Solution

The third proportional to 197,190 and 431,689 is: 945,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190 : 431,689 = 431,689 : x
  2. Step 2: Convert to fraction form
    197,190/431,689 = 431,689/x
  3. Step 3: Cross multiply
    197,190x = 431,689 × 431,689
  4. Step 4: Simplify right side
    197,190x = 186,355,392,721
  5. Step 5: Solve for x
    x = 186,355,392,721/197,190
  6. Step 6: Final answer
    x = 945,054.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.