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Finding the Third Proportional to 183,900 and 281,194

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Solution

The third proportional to 183,900 and 281,194 is: 429,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,900 : 281,194 = 281,194 : x
  2. Step 2: Convert to fraction form
    183,900/281,194 = 281,194/x
  3. Step 3: Cross multiply
    183,900x = 281,194 × 281,194
  4. Step 4: Simplify right side
    183,900x = 79,070,065,636
  5. Step 5: Solve for x
    x = 79,070,065,636/183,900
  6. Step 6: Final answer
    x = 429,962.29

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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.