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Finding the Third Proportional to 183,799 and 281,105

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Solution

The third proportional to 183,799 and 281,105 is: 429,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,799 : 281,105 = 281,105 : x
  2. Step 2: Convert to fraction form
    183,799/281,105 = 281,105/x
  3. Step 3: Cross multiply
    183,799x = 281,105 × 281,105
  4. Step 4: Simplify right side
    183,799x = 79,020,021,025
  5. Step 5: Solve for x
    x = 79,020,021,025/183,799
  6. Step 6: Final answer
    x = 429,926.28

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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.