Finding the Third Proportional to 205,963.31 and 434,070
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Solution
The third proportional to 205,963.31 and 434,070 is: 914,807.41
Step by Step Solution
- Step 1: Write the proportion equation
205,963.31 : 434,070 = 434,070 : x - Step 2: Convert to fraction form
205,963.31/434,070 = 434,070/x - Step 3: Cross multiply
205,963.31x = 434,070 × 434,070 - Step 4: Simplify right side
205,963.31x = 188,416,764,900 - Step 5: Solve for x
x = 188,416,764,900/205,963.31 - Step 6: Final answer
x = 914,807.41
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.