Finding the Third Proportional to 312.75 and 473.25
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Solution
The third proportional to 312.75 and 473.25 is: 716.12
Step by Step Solution
- Step 1: Write the proportion equation
312.75 : 473.25 = 473.25 : x - Step 2: Convert to fraction form
312.75/473.25 = 473.25/x - Step 3: Cross multiply
312.75x = 473.25 × 473.25 - Step 4: Simplify right side
312.75x = 223,965.56 - Step 5: Solve for x
x = 223,965.56/312.75 - Step 6: Final answer
x = 716.12
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.