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Finding the Third Proportional to 135,494.25 and 201,276.75

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Solution

The third proportional to 135,494.25 and 201,276.75 is: 298,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,494.25 : 201,276.75 = 201,276.75 : x
  2. Step 2: Convert to fraction form
    135,494.25/201,276.75 = 201,276.75/x
  3. Step 3: Cross multiply
    135,494.25x = 201,276.75 × 201,276.75
  4. Step 4: Simplify right side
    135,494.25x = 40,512,330,090.56
  5. Step 5: Solve for x
    x = 40,512,330,090.56/135,494.25
  6. Step 6: Final answer
    x = 298,996.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.