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Finding the Third Proportional to 232,336.69 and 339,585.75

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Solution

The third proportional to 232,336.69 and 339,585.75 is: 496,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,336.69 : 339,585.75 = 339,585.75 : x
  2. Step 2: Convert to fraction form
    232,336.69/339,585.75 = 339,585.75/x
  3. Step 3: Cross multiply
    232,336.69x = 339,585.75 × 339,585.75
  4. Step 4: Simplify right side
    232,336.69x = 115,318,481,603.06
  5. Step 5: Solve for x
    x = 115,318,481,603.06/232,336.69
  6. Step 6: Final answer
    x = 496,342.11

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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.