Finding the Third Proportional to 319.50 and 505.50
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Solution
The third proportional to 319.50 and 505.50 is: 799.78
Step by Step Solution
- Step 1: Write the proportion equation
319.50 : 505.50 = 505.50 : x - Step 2: Convert to fraction form
319.50/505.50 = 505.50/x - Step 3: Cross multiply
319.50x = 505.50 × 505.50 - Step 4: Simplify right side
319.50x = 255,530.25 - Step 5: Solve for x
x = 255,530.25/319.50 - Step 6: Final answer
x = 799.78
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.