Finding the Third Proportional to 142,969 and 305,570
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Solution
The third proportional to 142,969 and 305,570 is: 653,099.80
Step by Step Solution
- Step 1: Write the proportion equation
142,969 : 305,570 = 305,570 : x - Step 2: Convert to fraction form
142,969/305,570 = 305,570/x - Step 3: Cross multiply
142,969x = 305,570 × 305,570 - Step 4: Simplify right side
142,969x = 93,373,024,900 - Step 5: Solve for x
x = 93,373,024,900/142,969 - Step 6: Final answer
x = 653,099.80
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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.