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Finding the Third Proportional to 143,484 and 196,962

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Solution

The third proportional to 143,484 and 196,962 is: 270,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,484 : 196,962 = 196,962 : x
  2. Step 2: Convert to fraction form
    143,484/196,962 = 196,962/x
  3. Step 3: Cross multiply
    143,484x = 196,962 × 196,962
  4. Step 4: Simplify right side
    143,484x = 38,794,029,444
  5. Step 5: Solve for x
    x = 38,794,029,444/143,484
  6. Step 6: Final answer
    x = 270,371.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.