Finding the Third Proportional to 218 and 430
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Solution
The third proportional to 218 and 430 is: 848.17
Step by Step Solution
- Step 1: Write the proportion equation
218 : 430 = 430 : x - Step 2: Convert to fraction form
218/430 = 430/x - Step 3: Cross multiply
218x = 430 × 430 - Step 4: Simplify right side
218x = 184,900 - Step 5: Solve for x
x = 184,900/218 - Step 6: Final answer
x = 848.17
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.