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Finding the Third Proportional to 184,200 and 401,704

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Solution

The third proportional to 184,200 and 401,704 is: 876,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,200 : 401,704 = 401,704 : x
  2. Step 2: Convert to fraction form
    184,200/401,704 = 401,704/x
  3. Step 3: Cross multiply
    184,200x = 401,704 × 401,704
  4. Step 4: Simplify right side
    184,200x = 161,366,103,616
  5. Step 5: Solve for x
    x = 161,366,103,616/184,200
  6. Step 6: Final answer
    x = 876,037.48

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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.