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Finding the Third Proportional to 165,190.50 and 362,025

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Solution

The third proportional to 165,190.50 and 362,025 is: 793,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.50 : 362,025 = 362,025 : x
  2. Step 2: Convert to fraction form
    165,190.50/362,025 = 362,025/x
  3. Step 3: Cross multiply
    165,190.50x = 362,025 × 362,025
  4. Step 4: Simplify right side
    165,190.50x = 131,062,100,625
  5. Step 5: Solve for x
    x = 131,062,100,625/165,190.50
  6. Step 6: Final answer
    x = 793,399.75

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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.