Finding the Third Proportional to 282,277.50 and 402,396.75
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Solution
The third proportional to 282,277.50 and 402,396.75 is: 573,631.07
Step by Step Solution
- Step 1: Write the proportion equation
282,277.50 : 402,396.75 = 402,396.75 : x - Step 2: Convert to fraction form
282,277.50/402,396.75 = 402,396.75/x - Step 3: Cross multiply
282,277.50x = 402,396.75 × 402,396.75 - Step 4: Simplify right side
282,277.50x = 161,923,144,410.56 - Step 5: Solve for x
x = 161,923,144,410.56/282,277.50 - Step 6: Final answer
x = 573,631.07
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.