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Finding the Third Proportional to 84,194 and 178,768

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Solution

The third proportional to 84,194 and 178,768 is: 379,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,194 : 178,768 = 178,768 : x
  2. Step 2: Convert to fraction form
    84,194/178,768 = 178,768/x
  3. Step 3: Cross multiply
    84,194x = 178,768 × 178,768
  4. Step 4: Simplify right side
    84,194x = 31,957,997,824
  5. Step 5: Solve for x
    x = 31,957,997,824/84,194
  6. Step 6: Final answer
    x = 379,575.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.