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Finding the Third Proportional to 183,886 and 281,177

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Solution

The third proportional to 183,886 and 281,177 is: 429,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,886 : 281,177 = 281,177 : x
  2. Step 2: Convert to fraction form
    183,886/281,177 = 281,177/x
  3. Step 3: Cross multiply
    183,886x = 281,177 × 281,177
  4. Step 4: Simplify right side
    183,886x = 79,060,505,329
  5. Step 5: Solve for x
    x = 79,060,505,329/183,886
  6. Step 6: Final answer
    x = 429,943.04

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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.