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Finding the Third Proportional to 134,198 and 274,222

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Solution

The third proportional to 134,198 and 274,222 is: 560,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,198 : 274,222 = 274,222 : x
  2. Step 2: Convert to fraction form
    134,198/274,222 = 274,222/x
  3. Step 3: Cross multiply
    134,198x = 274,222 × 274,222
  4. Step 4: Simplify right side
    134,198x = 75,197,705,284
  5. Step 5: Solve for x
    x = 75,197,705,284/134,198
  6. Step 6: Final answer
    x = 560,348.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.