Finding the Third Proportional to 105,435.75 and 227,478.75
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Solution
The third proportional to 105,435.75 and 227,478.75 is: 490,787.82
Step by Step Solution
- Step 1: Write the proportion equation
105,435.75 : 227,478.75 = 227,478.75 : x - Step 2: Convert to fraction form
105,435.75/227,478.75 = 227,478.75/x - Step 3: Cross multiply
105,435.75x = 227,478.75 × 227,478.75 - Step 4: Simplify right side
105,435.75x = 51,746,581,701.56 - Step 5: Solve for x
x = 51,746,581,701.56/105,435.75 - Step 6: Final answer
x = 490,787.82
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.