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Finding the Third Proportional to 184,439 and 283,899

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Solution

The third proportional to 184,439 and 283,899 is: 436,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,439 : 283,899 = 283,899 : x
  2. Step 2: Convert to fraction form
    184,439/283,899 = 283,899/x
  3. Step 3: Cross multiply
    184,439x = 283,899 × 283,899
  4. Step 4: Simplify right side
    184,439x = 80,598,642,201
  5. Step 5: Solve for x
    x = 80,598,642,201/184,439
  6. Step 6: Final answer
    x = 436,993.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.