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Finding the Third Proportional to 182,904 and 274,842

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Solution

The third proportional to 182,904 and 274,842 is: 412,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,904 : 274,842 = 274,842 : x
  2. Step 2: Convert to fraction form
    182,904/274,842 = 274,842/x
  3. Step 3: Cross multiply
    182,904x = 274,842 × 274,842
  4. Step 4: Simplify right side
    182,904x = 75,538,124,964
  5. Step 5: Solve for x
    x = 75,538,124,964/182,904
  6. Step 6: Final answer
    x = 412,993.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.