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Finding the Third Proportional to 115,211 and 178,811

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Solution

The third proportional to 115,211 and 178,811 is: 277,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,211 : 178,811 = 178,811 : x
  2. Step 2: Convert to fraction form
    115,211/178,811 = 178,811/x
  3. Step 3: Cross multiply
    115,211x = 178,811 × 178,811
  4. Step 4: Simplify right side
    115,211x = 31,973,373,721
  5. Step 5: Solve for x
    x = 31,973,373,721/115,211
  6. Step 6: Final answer
    x = 277,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.