Finding the Third Proportional to 214 and 468
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Solution
The third proportional to 214 and 468 is: 1,023.48
Step by Step Solution
- Step 1: Write the proportion equation
214 : 468 = 468 : x - Step 2: Convert to fraction form
214/468 = 468/x - Step 3: Cross multiply
214x = 468 × 468 - Step 4: Simplify right side
214x = 219,024 - Step 5: Solve for x
x = 219,024/214 - Step 6: Final answer
x = 1,023.48
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.