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Finding the Third Proportional to 183,571.31 and 280,790.30

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Solution

The third proportional to 183,571.31 and 280,790.30 is: 429,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,571.31 : 280,790.30 = 280,790.30 : x
  2. Step 2: Convert to fraction form
    183,571.31/280,790.30 = 280,790.30/x
  3. Step 3: Cross multiply
    183,571.31x = 280,790.30 × 280,790.30
  4. Step 4: Simplify right side
    183,571.31x = 78,843,190,819.15
  5. Step 5: Solve for x
    x = 78,843,190,819.15/183,571.31
  6. Step 6: Final answer
    x = 429,496.25

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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.