Finding the Third Proportional to 130 and 167
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Solution
The third proportional to 130 and 167 is: 214.53
Step by Step Solution
- Step 1: Write the proportion equation
130 : 167 = 167 : x - Step 2: Convert to fraction form
130/167 = 167/x - Step 3: Cross multiply
130x = 167 × 167 - Step 4: Simplify right side
130x = 27,889 - Step 5: Solve for x
x = 27,889/130 - Step 6: Final answer
x = 214.53
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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.