Finding the Third Proportional to 197,641.50 and 432,762
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Solution
The third proportional to 197,641.50 and 432,762 is: 947,589.19
Step by Step Solution
- Step 1: Write the proportion equation
197,641.50 : 432,762 = 432,762 : x - Step 2: Convert to fraction form
197,641.50/432,762 = 432,762/x - Step 3: Cross multiply
197,641.50x = 432,762 × 432,762 - Step 4: Simplify right side
197,641.50x = 187,282,948,644 - Step 5: Solve for x
x = 187,282,948,644/197,641.50 - Step 6: Final answer
x = 947,589.19
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.