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Finding the Third Proportional to 277,193 and 363,981

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Solution

The third proportional to 277,193 and 363,981 is: 477,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,193 : 363,981 = 363,981 : x
  2. Step 2: Convert to fraction form
    277,193/363,981 = 363,981/x
  3. Step 3: Cross multiply
    277,193x = 363,981 × 363,981
  4. Step 4: Simplify right side
    277,193x = 132,482,168,361
  5. Step 5: Solve for x
    x = 132,482,168,361/277,193
  6. Step 6: Final answer
    x = 477,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.