Finding the Third Proportional to 167 and 423
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Solution
The third proportional to 167 and 423 is: 1,071.43
Step by Step Solution
- Step 1: Write the proportion equation
167 : 423 = 423 : x - Step 2: Convert to fraction form
167/423 = 423/x - Step 3: Cross multiply
167x = 423 × 423 - Step 4: Simplify right side
167x = 178,929 - Step 5: Solve for x
x = 178,929/167 - Step 6: Final answer
x = 1,071.43
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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.