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Finding the Third Proportional to 183,899 and 281,195

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Solution

The third proportional to 183,899 and 281,195 is: 429,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,899 : 281,195 = 281,195 : x
  2. Step 2: Convert to fraction form
    183,899/281,195 = 281,195/x
  3. Step 3: Cross multiply
    183,899x = 281,195 × 281,195
  4. Step 4: Simplify right side
    183,899x = 79,070,628,025
  5. Step 5: Solve for x
    x = 79,070,628,025/183,899
  6. Step 6: Final answer
    x = 429,967.69

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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.