Finding the Third Proportional to 147,205.50 and 233,472
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Solution
The third proportional to 147,205.50 and 233,472 is: 370,293.06
Step by Step Solution
- Step 1: Write the proportion equation
147,205.50 : 233,472 = 233,472 : x - Step 2: Convert to fraction form
147,205.50/233,472 = 233,472/x - Step 3: Cross multiply
147,205.50x = 233,472 × 233,472 - Step 4: Simplify right side
147,205.50x = 54,509,174,784 - Step 5: Solve for x
x = 54,509,174,784/147,205.50 - Step 6: Final answer
x = 370,293.06
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.