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Finding the Third Proportional to 188,196.75 and 385,566.75

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Solution

The third proportional to 188,196.75 and 385,566.75 is: 789,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,196.75 : 385,566.75 = 385,566.75 : x
  2. Step 2: Convert to fraction form
    188,196.75/385,566.75 = 385,566.75/x
  3. Step 3: Cross multiply
    188,196.75x = 385,566.75 × 385,566.75
  4. Step 4: Simplify right side
    188,196.75x = 148,661,718,705.56
  5. Step 5: Solve for x
    x = 148,661,718,705.56/188,196.75
  6. Step 6: Final answer
    x = 789,927.13

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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.