Finding the Third Proportional to 107,056 and 233,178
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Solution
The third proportional to 107,056 and 233,178 is: 507,883.53
Step by Step Solution
- Step 1: Write the proportion equation
107,056 : 233,178 = 233,178 : x - Step 2: Convert to fraction form
107,056/233,178 = 233,178/x - Step 3: Cross multiply
107,056x = 233,178 × 233,178 - Step 4: Simplify right side
107,056x = 54,371,979,684 - Step 5: Solve for x
x = 54,371,979,684/107,056 - Step 6: Final answer
x = 507,883.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.