Finding the Third Proportional to 247,510 and 508,142
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Solution
The third proportional to 247,510 and 508,142 is: 1,043,223.68
Step by Step Solution
- Step 1: Write the proportion equation
247,510 : 508,142 = 508,142 : x - Step 2: Convert to fraction form
247,510/508,142 = 508,142/x - Step 3: Cross multiply
247,510x = 508,142 × 508,142 - Step 4: Simplify right side
247,510x = 258,208,292,164 - Step 5: Solve for x
x = 258,208,292,164/247,510 - Step 6: Final answer
x = 1,043,223.68
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.