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Finding the Third Proportional to 183,888 and 281,181

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Solution

The third proportional to 183,888 and 281,181 is: 429,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,888 : 281,181 = 281,181 : x
  2. Step 2: Convert to fraction form
    183,888/281,181 = 281,181/x
  3. Step 3: Cross multiply
    183,888x = 281,181 × 281,181
  4. Step 4: Simplify right side
    183,888x = 79,062,754,761
  5. Step 5: Solve for x
    x = 79,062,754,761/183,888
  6. Step 6: Final answer
    x = 429,950.59

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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.