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Finding the Third Proportional to 139,942 and 301,996

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Solution

The third proportional to 139,942 and 301,996 is: 651,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,942 : 301,996 = 301,996 : x
  2. Step 2: Convert to fraction form
    139,942/301,996 = 301,996/x
  3. Step 3: Cross multiply
    139,942x = 301,996 × 301,996
  4. Step 4: Simplify right side
    139,942x = 91,201,584,016
  5. Step 5: Solve for x
    x = 91,201,584,016/139,942
  6. Step 6: Final answer
    x = 651,709.88

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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.