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Finding the Third Proportional to 197,182 and 305,889

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Solution

The third proportional to 197,182 and 305,889 is: 474,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,182 : 305,889 = 305,889 : x
  2. Step 2: Convert to fraction form
    197,182/305,889 = 305,889/x
  3. Step 3: Cross multiply
    197,182x = 305,889 × 305,889
  4. Step 4: Simplify right side
    197,182x = 93,568,080,321
  5. Step 5: Solve for x
    x = 93,568,080,321/197,182
  6. Step 6: Final answer
    x = 474,526.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.