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Finding the Third Proportional to 136,180 and 196,446

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Solution

The third proportional to 136,180 and 196,446 is: 283,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,180 : 196,446 = 196,446 : x
  2. Step 2: Convert to fraction form
    136,180/196,446 = 196,446/x
  3. Step 3: Cross multiply
    136,180x = 196,446 × 196,446
  4. Step 4: Simplify right side
    136,180x = 38,591,030,916
  5. Step 5: Solve for x
    x = 38,591,030,916/136,180
  6. Step 6: Final answer
    x = 283,382.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.