Finding the Third Proportional to 199 and 318.25
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Solution
The third proportional to 199 and 318.25 is: 508.96
Step by Step Solution
- Step 1: Write the proportion equation
199 : 318.25 = 318.25 : x - Step 2: Convert to fraction form
199/318.25 = 318.25/x - Step 3: Cross multiply
199x = 318.25 × 318.25 - Step 4: Simplify right side
199x = 101,283.06 - Step 5: Solve for x
x = 101,283.06/199 - Step 6: Final answer
x = 508.96
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.