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Finding the Third Proportional to 165,500 and 248,194

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Solution

The third proportional to 165,500 and 248,194 is: 372,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,500 : 248,194 = 248,194 : x
  2. Step 2: Convert to fraction form
    165,500/248,194 = 248,194/x
  3. Step 3: Cross multiply
    165,500x = 248,194 × 248,194
  4. Step 4: Simplify right side
    165,500x = 61,600,261,636
  5. Step 5: Solve for x
    x = 61,600,261,636/165,500
  6. Step 6: Final answer
    x = 372,207.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.