Finding the Third Proportional to 157.50 and 346.50
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Solution
The third proportional to 157.50 and 346.50 is: 762.30
Step by Step Solution
- Step 1: Write the proportion equation
157.50 : 346.50 = 346.50 : x - Step 2: Convert to fraction form
157.50/346.50 = 346.50/x - Step 3: Cross multiply
157.50x = 346.50 × 346.50 - Step 4: Simplify right side
157.50x = 120,062.25 - Step 5: Solve for x
x = 120,062.25/157.50 - Step 6: Final answer
x = 762.30
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.