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Finding the Third Proportional to 166,367 and 232,834

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Solution

The third proportional to 166,367 and 232,834 is: 325,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,367 : 232,834 = 232,834 : x
  2. Step 2: Convert to fraction form
    166,367/232,834 = 232,834/x
  3. Step 3: Cross multiply
    166,367x = 232,834 × 232,834
  4. Step 4: Simplify right side
    166,367x = 54,211,671,556
  5. Step 5: Solve for x
    x = 54,211,671,556/166,367
  6. Step 6: Final answer
    x = 325,855.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.