Finding the Third Proportional to 225,204 and 316,746
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Solution
The third proportional to 225,204 and 316,746 is: 445,498.43
Step by Step Solution
- Step 1: Write the proportion equation
225,204 : 316,746 = 316,746 : x - Step 2: Convert to fraction form
225,204/316,746 = 316,746/x - Step 3: Cross multiply
225,204x = 316,746 × 316,746 - Step 4: Simplify right side
225,204x = 100,328,028,516 - Step 5: Solve for x
x = 100,328,028,516/225,204 - Step 6: Final answer
x = 445,498.43
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.