Finding the Third Proportional to 178,462 and 237,924
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Solution
The third proportional to 178,462 and 237,924 is: 317,198.23
Step by Step Solution
- Step 1: Write the proportion equation
178,462 : 237,924 = 237,924 : x - Step 2: Convert to fraction form
178,462/237,924 = 237,924/x - Step 3: Cross multiply
178,462x = 237,924 × 237,924 - Step 4: Simplify right side
178,462x = 56,607,829,776 - Step 5: Solve for x
x = 56,607,829,776/178,462 - Step 6: Final answer
x = 317,198.23
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.