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Finding the Third Proportional to 166,093 and 389,930

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Solution

The third proportional to 166,093 and 389,930 is: 915,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,093 : 389,930 = 389,930 : x
  2. Step 2: Convert to fraction form
    166,093/389,930 = 389,930/x
  3. Step 3: Cross multiply
    166,093x = 389,930 × 389,930
  4. Step 4: Simplify right side
    166,093x = 152,045,404,900
  5. Step 5: Solve for x
    x = 152,045,404,900/166,093
  6. Step 6: Final answer
    x = 915,423.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.