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Finding the Third Proportional to 166,911 and 371,138.25

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Solution

The third proportional to 166,911 and 371,138.25 is: 825,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,911 : 371,138.25 = 371,138.25 : x
  2. Step 2: Convert to fraction form
    166,911/371,138.25 = 371,138.25/x
  3. Step 3: Cross multiply
    166,911x = 371,138.25 × 371,138.25
  4. Step 4: Simplify right side
    166,911x = 137,743,600,613.06
  5. Step 5: Solve for x
    x = 137,743,600,613.06/166,911
  6. Step 6: Final answer
    x = 825,251.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.