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Finding the Third Proportional to 149,034.94 and 230,250.09

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Solution

The third proportional to 149,034.94 and 230,250.09 is: 355,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,034.94 : 230,250.09 = 230,250.09 : x
  2. Step 2: Convert to fraction form
    149,034.94/230,250.09 = 230,250.09/x
  3. Step 3: Cross multiply
    149,034.94x = 230,250.09 × 230,250.09
  4. Step 4: Simplify right side
    149,034.94x = 53,015,105,671.88
  5. Step 5: Solve for x
    x = 53,015,105,671.88/149,034.94
  6. Step 6: Final answer
    x = 355,722.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.