Finding the Third Proportional to 232 and 424
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Solution
The third proportional to 232 and 424 is: 774.90
Step by Step Solution
- Step 1: Write the proportion equation
232 : 424 = 424 : x - Step 2: Convert to fraction form
232/424 = 424/x - Step 3: Cross multiply
232x = 424 × 424 - Step 4: Simplify right side
232x = 179,776 - Step 5: Solve for x
x = 179,776/232 - Step 6: Final answer
x = 774.90
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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.