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Finding the Third Proportional to 166,161 and 362,397

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Solution

The third proportional to 166,161 and 362,397 is: 790,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,161 : 362,397 = 362,397 : x
  2. Step 2: Convert to fraction form
    166,161/362,397 = 362,397/x
  3. Step 3: Cross multiply
    166,161x = 362,397 × 362,397
  4. Step 4: Simplify right side
    166,161x = 131,331,585,609
  5. Step 5: Solve for x
    x = 131,331,585,609/166,161
  6. Step 6: Final answer
    x = 790,387.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.