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Finding the Third Proportional to 196,026 and 276,052

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Solution

The third proportional to 196,026 and 276,052 is: 388,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,026 : 276,052 = 276,052 : x
  2. Step 2: Convert to fraction form
    196,026/276,052 = 276,052/x
  3. Step 3: Cross multiply
    196,026x = 276,052 × 276,052
  4. Step 4: Simplify right side
    196,026x = 76,204,706,704
  5. Step 5: Solve for x
    x = 76,204,706,704/196,026
  6. Step 6: Final answer
    x = 388,747.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.