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Finding the Third Proportional to 166,194 and 362,844

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Solution

The third proportional to 166,194 and 362,844 is: 792,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,194 : 362,844 = 362,844 : x
  2. Step 2: Convert to fraction form
    166,194/362,844 = 362,844/x
  3. Step 3: Cross multiply
    166,194x = 362,844 × 362,844
  4. Step 4: Simplify right side
    166,194x = 131,655,768,336
  5. Step 5: Solve for x
    x = 131,655,768,336/166,194
  6. Step 6: Final answer
    x = 792,181.24

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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.