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Finding the Third Proportional to 232,242.56 and 339,402.56

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Solution

The third proportional to 232,242.56 and 339,402.56 is: 496,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,242.56 : 339,402.56 = 339,402.56 : x
  2. Step 2: Convert to fraction form
    232,242.56/339,402.56 = 339,402.56/x
  3. Step 3: Cross multiply
    232,242.56x = 339,402.56 × 339,402.56
  4. Step 4: Simplify right side
    232,242.56x = 115,194,099,431.57
  5. Step 5: Solve for x
    x = 115,194,099,431.57/232,242.56
  6. Step 6: Final answer
    x = 496,007.70

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Why These Related Problems?

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