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Finding the Third Proportional to 165,736.13 and 362,819.25

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Solution

The third proportional to 165,736.13 and 362,819.25 is: 794,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,736.13 : 362,819.25 = 362,819.25 : x
  2. Step 2: Convert to fraction form
    165,736.13/362,819.25 = 362,819.25/x
  3. Step 3: Cross multiply
    165,736.13x = 362,819.25 × 362,819.25
  4. Step 4: Simplify right side
    165,736.13x = 131,637,808,170.56
  5. Step 5: Solve for x
    x = 131,637,808,170.56/165,736.13
  6. Step 6: Final answer
    x = 794,261.41

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