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Finding the Third Proportional to 183,864 and 281,142

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Solution

The third proportional to 183,864 and 281,142 is: 429,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,864 : 281,142 = 281,142 : x
  2. Step 2: Convert to fraction form
    183,864/281,142 = 281,142/x
  3. Step 3: Cross multiply
    183,864x = 281,142 × 281,142
  4. Step 4: Simplify right side
    183,864x = 79,040,824,164
  5. Step 5: Solve for x
    x = 79,040,824,164/183,864
  6. Step 6: Final answer
    x = 429,887.44

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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.