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Finding the Third Proportional to 181,751 and 372,318

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Solution

The third proportional to 181,751 and 372,318 is: 762,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,751 : 372,318 = 372,318 : x
  2. Step 2: Convert to fraction form
    181,751/372,318 = 372,318/x
  3. Step 3: Cross multiply
    181,751x = 372,318 × 372,318
  4. Step 4: Simplify right side
    181,751x = 138,620,693,124
  5. Step 5: Solve for x
    x = 138,620,693,124/181,751
  6. Step 6: Final answer
    x = 762,695.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.