Finding the Third Proportional to 178,130 and 284,043
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Solution
The third proportional to 178,130 and 284,043 is: 452,930.03
Step by Step Solution
- Step 1: Write the proportion equation
178,130 : 284,043 = 284,043 : x - Step 2: Convert to fraction form
178,130/284,043 = 284,043/x - Step 3: Cross multiply
178,130x = 284,043 × 284,043 - Step 4: Simplify right side
178,130x = 80,680,425,849 - Step 5: Solve for x
x = 80,680,425,849/178,130 - Step 6: Final answer
x = 452,930.03
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.