Finding the Third Proportional to 78,214 and 167,496
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Solution
The third proportional to 78,214 and 167,496 is: 358,694.22
Step by Step Solution
- Step 1: Write the proportion equation
78,214 : 167,496 = 167,496 : x - Step 2: Convert to fraction form
78,214/167,496 = 167,496/x - Step 3: Cross multiply
78,214x = 167,496 × 167,496 - Step 4: Simplify right side
78,214x = 28,054,910,016 - Step 5: Solve for x
x = 28,054,910,016/78,214 - Step 6: Final answer
x = 358,694.22
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.