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Finding the Third Proportional to 183,800.25 and 281,106.75

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Solution

The third proportional to 183,800.25 and 281,106.75 is: 429,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,800.25 : 281,106.75 = 281,106.75 : x
  2. Step 2: Convert to fraction form
    183,800.25/281,106.75 = 281,106.75/x
  3. Step 3: Cross multiply
    183,800.25x = 281,106.75 × 281,106.75
  4. Step 4: Simplify right side
    183,800.25x = 79,021,004,895.56
  5. Step 5: Solve for x
    x = 79,021,004,895.56/183,800.25
  6. Step 6: Final answer
    x = 429,928.71

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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.