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Finding the Third Proportional to 135,735.75 and 289,499.06

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Solution

The third proportional to 135,735.75 and 289,499.06 is: 617,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,735.75 : 289,499.06 = 289,499.06 : x
  2. Step 2: Convert to fraction form
    135,735.75/289,499.06 = 289,499.06/x
  3. Step 3: Cross multiply
    135,735.75x = 289,499.06 × 289,499.06
  4. Step 4: Simplify right side
    135,735.75x = 83,809,707,188.38
  5. Step 5: Solve for x
    x = 83,809,707,188.38/135,735.75
  6. Step 6: Final answer
    x = 617,447.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.