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Finding the Third Proportional to 194,779.69 and 405,141.75

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Solution

The third proportional to 194,779.69 and 405,141.75 is: 842,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,779.69 : 405,141.75 = 405,141.75 : x
  2. Step 2: Convert to fraction form
    194,779.69/405,141.75 = 405,141.75/x
  3. Step 3: Cross multiply
    194,779.69x = 405,141.75 × 405,141.75
  4. Step 4: Simplify right side
    194,779.69x = 164,139,837,593.06
  5. Step 5: Solve for x
    x = 164,139,837,593.06/194,779.69
  6. Step 6: Final answer
    x = 842,694.84

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.