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Finding the Third Proportional to 185,467.50 and 379,743.75

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Solution

The third proportional to 185,467.50 and 379,743.75 is: 777,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,467.50 : 379,743.75 = 379,743.75 : x
  2. Step 2: Convert to fraction form
    185,467.50/379,743.75 = 379,743.75/x
  3. Step 3: Cross multiply
    185,467.50x = 379,743.75 × 379,743.75
  4. Step 4: Simplify right side
    185,467.50x = 144,205,315,664.06
  5. Step 5: Solve for x
    x = 144,205,315,664.06/185,467.50
  6. Step 6: Final answer
    x = 777,523.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.