Finding the Third Proportional to 169 and 423
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Solution
The third proportional to 169 and 423 is: 1,058.75
Step by Step Solution
- Step 1: Write the proportion equation
169 : 423 = 423 : x - Step 2: Convert to fraction form
169/423 = 423/x - Step 3: Cross multiply
169x = 423 × 423 - Step 4: Simplify right side
169x = 178,929 - Step 5: Solve for x
x = 178,929/169 - Step 6: Final answer
x = 1,058.75
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.