Finding the Third Proportional to 149.50 and 370.75
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Solution
The third proportional to 149.50 and 370.75 is: 919.44
Step by Step Solution
- Step 1: Write the proportion equation
149.50 : 370.75 = 370.75 : x - Step 2: Convert to fraction form
149.50/370.75 = 370.75/x - Step 3: Cross multiply
149.50x = 370.75 × 370.75 - Step 4: Simplify right side
149.50x = 137,455.56 - Step 5: Solve for x
x = 137,455.56/149.50 - Step 6: Final answer
x = 919.44
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Why These Related Problems?
These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.