Finding the Third Proportional to 176,324 and 415,889
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Solution
The third proportional to 176,324 and 415,889 is: 980,942.24
Step by Step Solution
- Step 1: Write the proportion equation
176,324 : 415,889 = 415,889 : x - Step 2: Convert to fraction form
176,324/415,889 = 415,889/x - Step 3: Cross multiply
176,324x = 415,889 × 415,889 - Step 4: Simplify right side
176,324x = 172,963,660,321 - Step 5: Solve for x
x = 172,963,660,321/176,324 - Step 6: Final answer
x = 980,942.24
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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.