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Finding the Third Proportional to 182,036 and 378,608

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Solution

The third proportional to 182,036 and 378,608 is: 787,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,036 : 378,608 = 378,608 : x
  2. Step 2: Convert to fraction form
    182,036/378,608 = 378,608/x
  3. Step 3: Cross multiply
    182,036x = 378,608 × 378,608
  4. Step 4: Simplify right side
    182,036x = 143,344,017,664
  5. Step 5: Solve for x
    x = 143,344,017,664/182,036
  6. Step 6: Final answer
    x = 787,448.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.