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Finding the Third Proportional to 184,855 and 378,451

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Solution

The third proportional to 184,855 and 378,451 is: 774,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,855 : 378,451 = 378,451 : x
  2. Step 2: Convert to fraction form
    184,855/378,451 = 378,451/x
  3. Step 3: Cross multiply
    184,855x = 378,451 × 378,451
  4. Step 4: Simplify right side
    184,855x = 143,225,159,401
  5. Step 5: Solve for x
    x = 143,225,159,401/184,855
  6. Step 6: Final answer
    x = 774,797.32

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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.