Finding the Third Proportional to 169 and 385
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Solution
The third proportional to 169 and 385 is: 877.07
Step by Step Solution
- Step 1: Write the proportion equation
169 : 385 = 385 : x - Step 2: Convert to fraction form
169/385 = 385/x - Step 3: Cross multiply
169x = 385 × 385 - Step 4: Simplify right side
169x = 148,225 - Step 5: Solve for x
x = 148,225/169 - Step 6: Final answer
x = 877.07
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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.