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Finding the Third Proportional to 165,269 and 362,170

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Solution

The third proportional to 165,269 and 362,170 is: 793,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,269 : 362,170 = 362,170 : x
  2. Step 2: Convert to fraction form
    165,269/362,170 = 362,170/x
  3. Step 3: Cross multiply
    165,269x = 362,170 × 362,170
  4. Step 4: Simplify right side
    165,269x = 131,167,108,900
  5. Step 5: Solve for x
    x = 131,167,108,900/165,269
  6. Step 6: Final answer
    x = 793,658.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.