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Finding the Third Proportional to 151,257.75 and 329,185.50

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Solution

The third proportional to 151,257.75 and 329,185.50 is: 716,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,257.75 : 329,185.50 = 329,185.50 : x
  2. Step 2: Convert to fraction form
    151,257.75/329,185.50 = 329,185.50/x
  3. Step 3: Cross multiply
    151,257.75x = 329,185.50 × 329,185.50
  4. Step 4: Simplify right side
    151,257.75x = 108,363,093,410.25
  5. Step 5: Solve for x
    x = 108,363,093,410.25/151,257.75
  6. Step 6: Final answer
    x = 716,413.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.