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Finding the Third Proportional to 139,896 and 301,900

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Solution

The third proportional to 139,896 and 301,900 is: 651,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,896 : 301,900 = 301,900 : x
  2. Step 2: Convert to fraction form
    139,896/301,900 = 301,900/x
  3. Step 3: Cross multiply
    139,896x = 301,900 × 301,900
  4. Step 4: Simplify right side
    139,896x = 91,143,610,000
  5. Step 5: Solve for x
    x = 91,143,610,000/139,896
  6. Step 6: Final answer
    x = 651,509.76

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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.