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Finding the Third Proportional to 180,883.75 and 393,910.75

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Solution

The third proportional to 180,883.75 and 393,910.75 is: 857,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,883.75 : 393,910.75 = 393,910.75 : x
  2. Step 2: Convert to fraction form
    180,883.75/393,910.75 = 393,910.75/x
  3. Step 3: Cross multiply
    180,883.75x = 393,910.75 × 393,910.75
  4. Step 4: Simplify right side
    180,883.75x = 155,165,678,965.56
  5. Step 5: Solve for x
    x = 155,165,678,965.56/180,883.75
  6. Step 6: Final answer
    x = 857,819.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.