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Finding the Third Proportional to 79,346 and 165,268

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Solution

The third proportional to 79,346 and 165,268 is: 344,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,346 : 165,268 = 165,268 : x
  2. Step 2: Convert to fraction form
    79,346/165,268 = 165,268/x
  3. Step 3: Cross multiply
    79,346x = 165,268 × 165,268
  4. Step 4: Simplify right side
    79,346x = 27,313,511,824
  5. Step 5: Solve for x
    x = 27,313,511,824/79,346
  6. Step 6: Final answer
    x = 344,233.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.