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Finding the Third Proportional to 155,323.50 and 339,721.50

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Solution

The third proportional to 155,323.50 and 339,721.50 is: 743,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,323.50 : 339,721.50 = 339,721.50 : x
  2. Step 2: Convert to fraction form
    155,323.50/339,721.50 = 339,721.50/x
  3. Step 3: Cross multiply
    155,323.50x = 339,721.50 × 339,721.50
  4. Step 4: Simplify right side
    155,323.50x = 115,410,697,562.25
  5. Step 5: Solve for x
    x = 115,410,697,562.25/155,323.50
  6. Step 6: Final answer
    x = 743,034.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.