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Finding the Third Proportional to 232,664.63 and 339,760.13

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Solution

The third proportional to 232,664.63 and 339,760.13 is: 496,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,664.63 : 339,760.13 = 339,760.13 : x
  2. Step 2: Convert to fraction form
    232,664.63/339,760.13 = 339,760.13/x
  3. Step 3: Cross multiply
    232,664.63x = 339,760.13 × 339,760.13
  4. Step 4: Simplify right side
    232,664.63x = 115,436,942,540.02
  5. Step 5: Solve for x
    x = 115,436,942,540.02/232,664.63
  6. Step 6: Final answer
    x = 496,151.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.