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Finding the Third Proportional to 183,795.75 and 281,100.75

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Solution

The third proportional to 183,795.75 and 281,100.75 is: 429,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,795.75 : 281,100.75 = 281,100.75 : x
  2. Step 2: Convert to fraction form
    183,795.75/281,100.75 = 281,100.75/x
  3. Step 3: Cross multiply
    183,795.75x = 281,100.75 × 281,100.75
  4. Step 4: Simplify right side
    183,795.75x = 79,017,631,650.56
  5. Step 5: Solve for x
    x = 79,017,631,650.56/183,795.75
  6. Step 6: Final answer
    x = 429,920.89

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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.