Finding the Third Proportional to 216 and 498
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Solution
The third proportional to 216 and 498 is: 1,148.17
Step by Step Solution
- Step 1: Write the proportion equation
216 : 498 = 498 : x - Step 2: Convert to fraction form
216/498 = 498/x - Step 3: Cross multiply
216x = 498 × 498 - Step 4: Simplify right side
216x = 248,004 - Step 5: Solve for x
x = 248,004/216 - Step 6: Final answer
x = 1,148.17
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.