Finding the Third Proportional to 78,358 and 172,266
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Solution
The third proportional to 78,358 and 172,266 is: 378,717.87
Step by Step Solution
- Step 1: Write the proportion equation
78,358 : 172,266 = 172,266 : x - Step 2: Convert to fraction form
78,358/172,266 = 172,266/x - Step 3: Cross multiply
78,358x = 172,266 × 172,266 - Step 4: Simplify right side
78,358x = 29,675,574,756 - Step 5: Solve for x
x = 29,675,574,756/78,358 - Step 6: Final answer
x = 378,717.87
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.