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Finding the Third Proportional to 171,415.13 and 256,960.13

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Solution

The third proportional to 171,415.13 and 256,960.13 is: 385,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,415.13 : 256,960.13 = 256,960.13 : x
  2. Step 2: Convert to fraction form
    171,415.13/256,960.13 = 256,960.13/x
  3. Step 3: Cross multiply
    171,415.13x = 256,960.13 × 256,960.13
  4. Step 4: Simplify right side
    171,415.13x = 66,028,505,840.02
  5. Step 5: Solve for x
    x = 66,028,505,840.02/171,415.13
  6. Step 6: Final answer
    x = 385,196.50

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Why These Related Problems?

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