Finding the Third Proportional to 232,864.88 and 509,316.75
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Solution
The third proportional to 232,864.88 and 509,316.75 is: 1,113,965.99
Step by Step Solution
- Step 1: Write the proportion equation
232,864.88 : 509,316.75 = 509,316.75 : x - Step 2: Convert to fraction form
232,864.88/509,316.75 = 509,316.75/x - Step 3: Cross multiply
232,864.88x = 509,316.75 × 509,316.75 - Step 4: Simplify right side
232,864.88x = 259,403,551,830.56 - Step 5: Solve for x
x = 259,403,551,830.56/232,864.88 - Step 6: Final answer
x = 1,113,965.99
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.