Finding the Third Proportional to 322 and 349.50
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Solution
The third proportional to 322 and 349.50 is: 379.35
Step by Step Solution
- Step 1: Write the proportion equation
322 : 349.50 = 349.50 : x - Step 2: Convert to fraction form
322/349.50 = 349.50/x - Step 3: Cross multiply
322x = 349.50 × 349.50 - Step 4: Simplify right side
322x = 122,150.25 - Step 5: Solve for x
x = 122,150.25/322 - Step 6: Final answer
x = 379.35
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.