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Finding the Third Proportional to 84,375.75 and 178,238.25

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Solution

The third proportional to 84,375.75 and 178,238.25 is: 376,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,375.75 : 178,238.25 = 178,238.25 : x
  2. Step 2: Convert to fraction form
    84,375.75/178,238.25 = 178,238.25/x
  3. Step 3: Cross multiply
    84,375.75x = 178,238.25 × 178,238.25
  4. Step 4: Simplify right side
    84,375.75x = 31,768,873,763.06
  5. Step 5: Solve for x
    x = 31,768,873,763.06/84,375.75
  6. Step 6: Final answer
    x = 376,516.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.