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Finding the Third Proportional to 183,791.53 and 281,094.47

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Solution

The third proportional to 183,791.53 and 281,094.47 is: 429,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,791.53 : 281,094.47 = 281,094.47 : x
  2. Step 2: Convert to fraction form
    183,791.53/281,094.47 = 281,094.47/x
  3. Step 3: Cross multiply
    183,791.53x = 281,094.47 × 281,094.47
  4. Step 4: Simplify right side
    183,791.53x = 79,014,100,361.84
  5. Step 5: Solve for x
    x = 79,014,100,361.84/183,791.53
  6. Step 6: Final answer
    x = 429,911.54

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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.