Finding the Third Proportional to 314 and 800
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Solution
The third proportional to 314 and 800 is: 2,038.22
Step by Step Solution
- Step 1: Write the proportion equation
314 : 800 = 800 : x - Step 2: Convert to fraction form
314/800 = 800/x - Step 3: Cross multiply
314x = 800 × 800 - Step 4: Simplify right side
314x = 640,000 - Step 5: Solve for x
x = 640,000/314 - Step 6: Final answer
x = 2,038.22
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These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.