Finding the Third Proportional to 130,140 and 284,148
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Solution
The third proportional to 130,140 and 284,148 is: 620,409.45
Step by Step Solution
- Step 1: Write the proportion equation
130,140 : 284,148 = 284,148 : x - Step 2: Convert to fraction form
130,140/284,148 = 284,148/x - Step 3: Cross multiply
130,140x = 284,148 × 284,148 - Step 4: Simplify right side
130,140x = 80,740,085,904 - Step 5: Solve for x
x = 80,740,085,904/130,140 - Step 6: Final answer
x = 620,409.45
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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.