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Finding the Third Proportional to 128,180 and 194,182

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Solution

The third proportional to 128,180 and 194,182 is: 294,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,180 : 194,182 = 194,182 : x
  2. Step 2: Convert to fraction form
    128,180/194,182 = 194,182/x
  3. Step 3: Cross multiply
    128,180x = 194,182 × 194,182
  4. Step 4: Simplify right side
    128,180x = 37,706,649,124
  5. Step 5: Solve for x
    x = 37,706,649,124/128,180
  6. Step 6: Final answer
    x = 294,169.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.