Finding the Third Proportional to 318 and 565
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Solution
The third proportional to 318 and 565 is: 1,003.85
Step by Step Solution
- Step 1: Write the proportion equation
318 : 565 = 565 : x - Step 2: Convert to fraction form
318/565 = 565/x - Step 3: Cross multiply
318x = 565 × 565 - Step 4: Simplify right side
318x = 319,225 - Step 5: Solve for x
x = 319,225/318 - Step 6: Final answer
x = 1,003.85
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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.