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Finding the Third Proportional to 193,645.69 and 278,898.19

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Solution

The third proportional to 193,645.69 and 278,898.19 is: 401,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,645.69 : 278,898.19 = 278,898.19 : x
  2. Step 2: Convert to fraction form
    193,645.69/278,898.19 = 278,898.19/x
  3. Step 3: Cross multiply
    193,645.69x = 278,898.19 × 278,898.19
  4. Step 4: Simplify right side
    193,645.69x = 77,784,198,990.79
  5. Step 5: Solve for x
    x = 77,784,198,990.79/193,645.69
  6. Step 6: Final answer
    x = 401,683.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.