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Finding the Third Proportional to 171,415.50 and 256,960.50

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Solution

The third proportional to 171,415.50 and 256,960.50 is: 385,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,415.50 : 256,960.50 = 256,960.50 : x
  2. Step 2: Convert to fraction form
    171,415.50/256,960.50 = 256,960.50/x
  3. Step 3: Cross multiply
    171,415.50x = 256,960.50 × 256,960.50
  4. Step 4: Simplify right side
    171,415.50x = 66,028,698,560.25
  5. Step 5: Solve for x
    x = 66,028,698,560.25/171,415.50
  6. Step 6: Final answer
    x = 385,196.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.