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Finding the Third Proportional to 135,170 and 197,619

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Solution

The third proportional to 135,170 and 197,619 is: 288,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,170 : 197,619 = 197,619 : x
  2. Step 2: Convert to fraction form
    135,170/197,619 = 197,619/x
  3. Step 3: Cross multiply
    135,170x = 197,619 × 197,619
  4. Step 4: Simplify right side
    135,170x = 39,053,269,161
  5. Step 5: Solve for x
    x = 39,053,269,161/135,170
  6. Step 6: Final answer
    x = 288,919.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.