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Finding the Third Proportional to 166,093 and 389,929

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Solution

The third proportional to 166,093 and 389,929 is: 915,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,093 : 389,929 = 389,929 : x
  2. Step 2: Convert to fraction form
    166,093/389,929 = 389,929/x
  3. Step 3: Cross multiply
    166,093x = 389,929 × 389,929
  4. Step 4: Simplify right side
    166,093x = 152,044,625,041
  5. Step 5: Solve for x
    x = 152,044,625,041/166,093
  6. Step 6: Final answer
    x = 915,418.62

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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.