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Finding the Third Proportional to 165,278 and 362,218

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Solution

The third proportional to 165,278 and 362,218 is: 793,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,278 : 362,218 = 362,218 : x
  2. Step 2: Convert to fraction form
    165,278/362,218 = 362,218/x
  3. Step 3: Cross multiply
    165,278x = 362,218 × 362,218
  4. Step 4: Simplify right side
    165,278x = 131,201,879,524
  5. Step 5: Solve for x
    x = 131,201,879,524/165,278
  6. Step 6: Final answer
    x = 793,825.43

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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.