Finding the Third Proportional to 216 and 488
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Solution
The third proportional to 216 and 488 is: 1,102.52
Step by Step Solution
- Step 1: Write the proportion equation
216 : 488 = 488 : x - Step 2: Convert to fraction form
216/488 = 488/x - Step 3: Cross multiply
216x = 488 × 488 - Step 4: Simplify right side
216x = 238,144 - Step 5: Solve for x
x = 238,144/216 - Step 6: Final answer
x = 1,102.52
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.