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Finding the Third Proportional to 84,883 and 184,984

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Solution

The third proportional to 84,883 and 184,984 is: 403,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,883 : 184,984 = 184,984 : x
  2. Step 2: Convert to fraction form
    84,883/184,984 = 184,984/x
  3. Step 3: Cross multiply
    84,883x = 184,984 × 184,984
  4. Step 4: Simplify right side
    84,883x = 34,219,080,256
  5. Step 5: Solve for x
    x = 34,219,080,256/84,883
  6. Step 6: Final answer
    x = 403,132.31

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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.