Finding the Third Proportional to 200,997 and 312,564
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Solution
The third proportional to 200,997 and 312,564 is: 486,058.27
Step by Step Solution
- Step 1: Write the proportion equation
200,997 : 312,564 = 312,564 : x - Step 2: Convert to fraction form
200,997/312,564 = 312,564/x - Step 3: Cross multiply
200,997x = 312,564 × 312,564 - Step 4: Simplify right side
200,997x = 97,696,254,096 - Step 5: Solve for x
x = 97,696,254,096/200,997 - Step 6: Final answer
x = 486,058.27
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.