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Finding the Third Proportional to 183,866 and 281,145

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Solution

The third proportional to 183,866 and 281,145 is: 429,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,866 : 281,145 = 281,145 : x
  2. Step 2: Convert to fraction form
    183,866/281,145 = 281,145/x
  3. Step 3: Cross multiply
    183,866x = 281,145 × 281,145
  4. Step 4: Simplify right side
    183,866x = 79,042,511,025
  5. Step 5: Solve for x
    x = 79,042,511,025/183,866
  6. Step 6: Final answer
    x = 429,891.94

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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.