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Finding the Third Proportional to 197,199 and 321,975

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Solution

The third proportional to 197,199 and 321,975 is: 525,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,199 : 321,975 = 321,975 : x
  2. Step 2: Convert to fraction form
    197,199/321,975 = 321,975/x
  3. Step 3: Cross multiply
    197,199x = 321,975 × 321,975
  4. Step 4: Simplify right side
    197,199x = 103,667,900,625
  5. Step 5: Solve for x
    x = 103,667,900,625/197,199
  6. Step 6: Final answer
    x = 525,701.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.