Finding the Third Proportional to 145,435.50 and 314,218
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Solution
The third proportional to 145,435.50 and 314,218 is: 678,877.93
Step by Step Solution
- Step 1: Write the proportion equation
145,435.50 : 314,218 = 314,218 : x - Step 2: Convert to fraction form
145,435.50/314,218 = 314,218/x - Step 3: Cross multiply
145,435.50x = 314,218 × 314,218 - Step 4: Simplify right side
145,435.50x = 98,732,951,524 - Step 5: Solve for x
x = 98,732,951,524/145,435.50 - Step 6: Final answer
x = 678,877.93
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.