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Finding the Third Proportional to 135,662.06 and 295,431.75

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Solution

The third proportional to 135,662.06 and 295,431.75 is: 643,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,662.06 : 295,431.75 = 295,431.75 : x
  2. Step 2: Convert to fraction form
    135,662.06/295,431.75 = 295,431.75/x
  3. Step 3: Cross multiply
    135,662.06x = 295,431.75 × 295,431.75
  4. Step 4: Simplify right side
    135,662.06x = 87,279,918,908.06
  5. Step 5: Solve for x
    x = 87,279,918,908.06/135,662.06
  6. Step 6: Final answer
    x = 643,362.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.