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Finding the Third Proportional to 135,885.38 and 289,311.75

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Solution

The third proportional to 135,885.38 and 289,311.75 is: 615,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885.38 : 289,311.75 = 289,311.75 : x
  2. Step 2: Convert to fraction form
    135,885.38/289,311.75 = 289,311.75/x
  3. Step 3: Cross multiply
    135,885.38x = 289,311.75 × 289,311.75
  4. Step 4: Simplify right side
    135,885.38x = 83,701,288,688.06
  5. Step 5: Solve for x
    x = 83,701,288,688.06/135,885.38
  6. Step 6: Final answer
    x = 615,969.81

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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.