Finding the Third Proportional to 152 and 185.50
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Solution
The third proportional to 152 and 185.50 is: 226.38
Step by Step Solution
- Step 1: Write the proportion equation
152 : 185.50 = 185.50 : x - Step 2: Convert to fraction form
152/185.50 = 185.50/x - Step 3: Cross multiply
152x = 185.50 × 185.50 - Step 4: Simplify right side
152x = 34,410.25 - Step 5: Solve for x
x = 34,410.25/152 - Step 6: Final answer
x = 226.38
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.