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Finding the Third Proportional to 197,257 and 279,114

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Solution

The third proportional to 197,257 and 279,114 is: 394,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,257 : 279,114 = 279,114 : x
  2. Step 2: Convert to fraction form
    197,257/279,114 = 279,114/x
  3. Step 3: Cross multiply
    197,257x = 279,114 × 279,114
  4. Step 4: Simplify right side
    197,257x = 77,904,624,996
  5. Step 5: Solve for x
    x = 77,904,624,996/197,257
  6. Step 6: Final answer
    x = 394,939.72

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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.