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Finding the Third Proportional to 183,804 and 281,112

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Solution

The third proportional to 183,804 and 281,112 is: 429,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,804 : 281,112 = 281,112 : x
  2. Step 2: Convert to fraction form
    183,804/281,112 = 281,112/x
  3. Step 3: Cross multiply
    183,804x = 281,112 × 281,112
  4. Step 4: Simplify right side
    183,804x = 79,023,956,544
  5. Step 5: Solve for x
    x = 79,023,956,544/183,804
  6. Step 6: Final answer
    x = 429,936

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.