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Finding the Third Proportional to 84,450.09 and 184,573.69

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Solution

The third proportional to 84,450.09 and 184,573.69 is: 403,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,450.09 : 184,573.69 = 184,573.69 : x
  2. Step 2: Convert to fraction form
    84,450.09/184,573.69 = 184,573.69/x
  3. Step 3: Cross multiply
    84,450.09x = 184,573.69 × 184,573.69
  4. Step 4: Simplify right side
    84,450.09x = 34,067,446,117.35
  5. Step 5: Solve for x
    x = 34,067,446,117.35/84,450.09
  6. Step 6: Final answer
    x = 403,403.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.