Finding the Third Proportional to 106,184.25 and 233,349.75
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Solution
The third proportional to 106,184.25 and 233,349.75 is: 512,807.75
Step by Step Solution
- Step 1: Write the proportion equation
106,184.25 : 233,349.75 = 233,349.75 : x - Step 2: Convert to fraction form
106,184.25/233,349.75 = 233,349.75/x - Step 3: Cross multiply
106,184.25x = 233,349.75 × 233,349.75 - Step 4: Simplify right side
106,184.25x = 54,452,105,825.06 - Step 5: Solve for x
x = 54,452,105,825.06/106,184.25 - Step 6: Final answer
x = 512,807.75
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.