Finding the Third Proportional to 176 and 262
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Solution
The third proportional to 176 and 262 is: 390.02
Step by Step Solution
- Step 1: Write the proportion equation
176 : 262 = 262 : x - Step 2: Convert to fraction form
176/262 = 262/x - Step 3: Cross multiply
176x = 262 × 262 - Step 4: Simplify right side
176x = 68,644 - Step 5: Solve for x
x = 68,644/176 - Step 6: Final answer
x = 390.02
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.