Finding the Third Proportional to 216 and 342
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Solution
The third proportional to 216 and 342 is: 541.50
Step by Step Solution
- Step 1: Write the proportion equation
216 : 342 = 342 : x - Step 2: Convert to fraction form
216/342 = 342/x - Step 3: Cross multiply
216x = 342 × 342 - Step 4: Simplify right side
216x = 116,964 - Step 5: Solve for x
x = 116,964/216 - Step 6: Final answer
x = 541.50
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.