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Finding the Third Proportional to 110,859 and 197,094

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Solution

The third proportional to 110,859 and 197,094 is: 350,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,859 : 197,094 = 197,094 : x
  2. Step 2: Convert to fraction form
    110,859/197,094 = 197,094/x
  3. Step 3: Cross multiply
    110,859x = 197,094 × 197,094
  4. Step 4: Simplify right side
    110,859x = 38,846,044,836
  5. Step 5: Solve for x
    x = 38,846,044,836/110,859
  6. Step 6: Final answer
    x = 350,409.48

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.