Finding the Third Proportional to 162 and 288.50
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Solution
The third proportional to 162 and 288.50 is: 513.78
Step by Step Solution
- Step 1: Write the proportion equation
162 : 288.50 = 288.50 : x - Step 2: Convert to fraction form
162/288.50 = 288.50/x - Step 3: Cross multiply
162x = 288.50 × 288.50 - Step 4: Simplify right side
162x = 83,232.25 - Step 5: Solve for x
x = 83,232.25/162 - Step 6: Final answer
x = 513.78
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.