Finding the Third Proportional to 175,506.75 and 414,163.13
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Solution
The third proportional to 175,506.75 and 414,163.13 is: 977,347.56
Step by Step Solution
- Step 1: Write the proportion equation
175,506.75 : 414,163.13 = 414,163.13 : x - Step 2: Convert to fraction form
175,506.75/414,163.13 = 414,163.13/x - Step 3: Cross multiply
175,506.75x = 414,163.13 × 414,163.13 - Step 4: Simplify right side
175,506.75x = 171,531,094,109.77 - Step 5: Solve for x
x = 171,531,094,109.77/175,506.75 - Step 6: Final answer
x = 977,347.56
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.