Finding the Third Proportional to 162 and 421
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Solution
The third proportional to 162 and 421 is: 1,094.08
Step by Step Solution
- Step 1: Write the proportion equation
162 : 421 = 421 : x - Step 2: Convert to fraction form
162/421 = 421/x - Step 3: Cross multiply
162x = 421 × 421 - Step 4: Simplify right side
162x = 177,241 - Step 5: Solve for x
x = 177,241/162 - Step 6: Final answer
x = 1,094.08
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.