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Finding the Third Proportional to 144,845 and 194,911

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Solution

The third proportional to 144,845 and 194,911 is: 262,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,845 : 194,911 = 194,911 : x
  2. Step 2: Convert to fraction form
    144,845/194,911 = 194,911/x
  3. Step 3: Cross multiply
    144,845x = 194,911 × 194,911
  4. Step 4: Simplify right side
    144,845x = 37,990,297,921
  5. Step 5: Solve for x
    x = 37,990,297,921/144,845
  6. Step 6: Final answer
    x = 262,282.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.