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Finding the Third Proportional to 197,323.88 and 419,244.75

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Solution

The third proportional to 197,323.88 and 419,244.75 is: 890,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,323.88 : 419,244.75 = 419,244.75 : x
  2. Step 2: Convert to fraction form
    197,323.88/419,244.75 = 419,244.75/x
  3. Step 3: Cross multiply
    197,323.88x = 419,244.75 × 419,244.75
  4. Step 4: Simplify right side
    197,323.88x = 175,766,160,402.56
  5. Step 5: Solve for x
    x = 175,766,160,402.56/197,323.88
  6. Step 6: Final answer
    x = 890,749.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.