Finding the Third Proportional to 205,872.75 and 299,427.75
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Solution
The third proportional to 205,872.75 and 299,427.75 is: 435,497.06
Step by Step Solution
- Step 1: Write the proportion equation
205,872.75 : 299,427.75 = 299,427.75 : x - Step 2: Convert to fraction form
205,872.75/299,427.75 = 299,427.75/x - Step 3: Cross multiply
205,872.75x = 299,427.75 × 299,427.75 - Step 4: Simplify right side
205,872.75x = 89,656,977,470.06 - Step 5: Solve for x
x = 89,656,977,470.06/205,872.75 - Step 6: Final answer
x = 435,497.06
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.