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Finding the Third Proportional to 193,395.09 and 295,651.27

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Solution

The third proportional to 193,395.09 and 295,651.27 is: 451,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,395.09 : 295,651.27 = 295,651.27 : x
  2. Step 2: Convert to fraction form
    193,395.09/295,651.27 = 295,651.27/x
  3. Step 3: Cross multiply
    193,395.09x = 295,651.27 × 295,651.27
  4. Step 4: Simplify right side
    193,395.09x = 87,409,670,865.66
  5. Step 5: Solve for x
    x = 87,409,670,865.66/193,395.09
  6. Step 6: Final answer
    x = 451,974.60

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Why These Related Problems?

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