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Finding the Third Proportional to 139,447.69 and 302,078.81

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Solution

The third proportional to 139,447.69 and 302,078.81 is: 654,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,447.69 : 302,078.81 = 302,078.81 : x
  2. Step 2: Convert to fraction form
    139,447.69/302,078.81 = 302,078.81/x
  3. Step 3: Cross multiply
    139,447.69x = 302,078.81 × 302,078.81
  4. Step 4: Simplify right side
    139,447.69x = 91,251,608,961.41
  5. Step 5: Solve for x
    x = 91,251,608,961.41/139,447.69
  6. Step 6: Final answer
    x = 654,378.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.