Finding the Third Proportional to 165 and 361.50
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Solution
The third proportional to 165 and 361.50 is: 792.01
Step by Step Solution
- Step 1: Write the proportion equation
165 : 361.50 = 361.50 : x - Step 2: Convert to fraction form
165/361.50 = 361.50/x - Step 3: Cross multiply
165x = 361.50 × 361.50 - Step 4: Simplify right side
165x = 130,682.25 - Step 5: Solve for x
x = 130,682.25/165 - Step 6: Final answer
x = 792.01
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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.