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Finding the Third Proportional to 183,770.25 and 281,112.75

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Solution

The third proportional to 183,770.25 and 281,112.75 is: 430,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,770.25 : 281,112.75 = 281,112.75 : x
  2. Step 2: Convert to fraction form
    183,770.25/281,112.75 = 281,112.75/x
  3. Step 3: Cross multiply
    183,770.25x = 281,112.75 × 281,112.75
  4. Step 4: Simplify right side
    183,770.25x = 79,024,378,212.56
  5. Step 5: Solve for x
    x = 79,024,378,212.56/183,770.25
  6. Step 6: Final answer
    x = 430,017.25

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