Finding the Third Proportional to 142,968 and 309,474
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Solution
The third proportional to 142,968 and 309,474 is: 669,899.25
Step by Step Solution
- Step 1: Write the proportion equation
142,968 : 309,474 = 309,474 : x - Step 2: Convert to fraction form
142,968/309,474 = 309,474/x - Step 3: Cross multiply
142,968x = 309,474 × 309,474 - Step 4: Simplify right side
142,968x = 95,774,156,676 - Step 5: Solve for x
x = 95,774,156,676/142,968 - Step 6: Final answer
x = 669,899.25
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.