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Finding the Third Proportional to 194,806.69 and 311,208.75

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Solution

The third proportional to 194,806.69 and 311,208.75 is: 497,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,806.69 : 311,208.75 = 311,208.75 : x
  2. Step 2: Convert to fraction form
    194,806.69/311,208.75 = 311,208.75/x
  3. Step 3: Cross multiply
    194,806.69x = 311,208.75 × 311,208.75
  4. Step 4: Simplify right side
    194,806.69x = 96,850,886,076.56
  5. Step 5: Solve for x
    x = 96,850,886,076.56/194,806.69
  6. Step 6: Final answer
    x = 497,164.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.