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Finding the Third Proportional to 193,396.69 and 295,653.75

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Solution

The third proportional to 193,396.69 and 295,653.75 is: 451,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,396.69 : 295,653.75 = 295,653.75 : x
  2. Step 2: Convert to fraction form
    193,396.69/295,653.75 = 295,653.75/x
  3. Step 3: Cross multiply
    193,396.69x = 295,653.75 × 295,653.75
  4. Step 4: Simplify right side
    193,396.69x = 87,411,139,889.06
  5. Step 5: Solve for x
    x = 87,411,139,889.06/193,396.69
  6. Step 6: Final answer
    x = 451,978.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.