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Finding the Third Proportional to 165,375 and 362,279

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Solution

The third proportional to 165,375 and 362,279 is: 793,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,375 : 362,279 = 362,279 : x
  2. Step 2: Convert to fraction form
    165,375/362,279 = 362,279/x
  3. Step 3: Cross multiply
    165,375x = 362,279 × 362,279
  4. Step 4: Simplify right side
    165,375x = 131,246,073,841
  5. Step 5: Solve for x
    x = 131,246,073,841/165,375
  6. Step 6: Final answer
    x = 793,627.05

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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.