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Finding the Third Proportional to 183,936 and 281,252

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Solution

The third proportional to 183,936 and 281,252 is: 430,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,936 : 281,252 = 281,252 : x
  2. Step 2: Convert to fraction form
    183,936/281,252 = 281,252/x
  3. Step 3: Cross multiply
    183,936x = 281,252 × 281,252
  4. Step 4: Simplify right side
    183,936x = 79,102,687,504
  5. Step 5: Solve for x
    x = 79,102,687,504/183,936
  6. Step 6: Final answer
    x = 430,055.49

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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.