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Finding the Third Proportional to 139,876 and 301,865

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Solution

The third proportional to 139,876 and 301,865 is: 651,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876 : 301,865 = 301,865 : x
  2. Step 2: Convert to fraction form
    139,876/301,865 = 301,865/x
  3. Step 3: Cross multiply
    139,876x = 301,865 × 301,865
  4. Step 4: Simplify right side
    139,876x = 91,122,478,225
  5. Step 5: Solve for x
    x = 91,122,478,225/139,876
  6. Step 6: Final answer
    x = 651,451.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.