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Finding the Third Proportional to 184,634 and 401,668

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Solution

The third proportional to 184,634 and 401,668 is: 873,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,634 : 401,668 = 401,668 : x
  2. Step 2: Convert to fraction form
    184,634/401,668 = 401,668/x
  3. Step 3: Cross multiply
    184,634x = 401,668 × 401,668
  4. Step 4: Simplify right side
    184,634x = 161,337,182,224
  5. Step 5: Solve for x
    x = 161,337,182,224/184,634
  6. Step 6: Final answer
    x = 873,821.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.