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Finding the Third Proportional to 138,980.25 and 289,716.75

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Solution

The third proportional to 138,980.25 and 289,716.75 is: 603,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,980.25 : 289,716.75 = 289,716.75 : x
  2. Step 2: Convert to fraction form
    138,980.25/289,716.75 = 289,716.75/x
  3. Step 3: Cross multiply
    138,980.25x = 289,716.75 × 289,716.75
  4. Step 4: Simplify right side
    138,980.25x = 83,935,795,230.56
  5. Step 5: Solve for x
    x = 83,935,795,230.56/138,980.25
  6. Step 6: Final answer
    x = 603,940.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.