Finding the Third Proportional to 109,215.75 and 233,616
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Solution
The third proportional to 109,215.75 and 233,616 is: 499,712.13
Step by Step Solution
- Step 1: Write the proportion equation
109,215.75 : 233,616 = 233,616 : x - Step 2: Convert to fraction form
109,215.75/233,616 = 233,616/x - Step 3: Cross multiply
109,215.75x = 233,616 × 233,616 - Step 4: Simplify right side
109,215.75x = 54,576,435,456 - Step 5: Solve for x
x = 54,576,435,456/109,215.75 - Step 6: Final answer
x = 499,712.13
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.