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Finding the Third Proportional to 181,704 and 274,194

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Solution

The third proportional to 181,704 and 274,194 is: 413,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,704 : 274,194 = 274,194 : x
  2. Step 2: Convert to fraction form
    181,704/274,194 = 274,194/x
  3. Step 3: Cross multiply
    181,704x = 274,194 × 274,194
  4. Step 4: Simplify right side
    181,704x = 75,182,349,636
  5. Step 5: Solve for x
    x = 75,182,349,636/181,704
  6. Step 6: Final answer
    x = 413,762.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.