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Finding the Third Proportional to 178,544 and 236,954

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Solution

The third proportional to 178,544 and 236,954 is: 314,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,544 : 236,954 = 236,954 : x
  2. Step 2: Convert to fraction form
    178,544/236,954 = 236,954/x
  3. Step 3: Cross multiply
    178,544x = 236,954 × 236,954
  4. Step 4: Simplify right side
    178,544x = 56,147,198,116
  5. Step 5: Solve for x
    x = 56,147,198,116/178,544
  6. Step 6: Final answer
    x = 314,472.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.