Finding the Third Proportional to 278.50 and 326.50
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Solution
The third proportional to 278.50 and 326.50 is: 382.77
Step by Step Solution
- Step 1: Write the proportion equation
278.50 : 326.50 = 326.50 : x - Step 2: Convert to fraction form
278.50/326.50 = 326.50/x - Step 3: Cross multiply
278.50x = 326.50 × 326.50 - Step 4: Simplify right side
278.50x = 106,602.25 - Step 5: Solve for x
x = 106,602.25/278.50 - Step 6: Final answer
x = 382.77
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.