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Finding the Third Proportional to 171,783.75 and 267,491.25

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Solution

The third proportional to 171,783.75 and 267,491.25 is: 416,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,783.75 : 267,491.25 = 267,491.25 : x
  2. Step 2: Convert to fraction form
    171,783.75/267,491.25 = 267,491.25/x
  3. Step 3: Cross multiply
    171,783.75x = 267,491.25 × 267,491.25
  4. Step 4: Simplify right side
    171,783.75x = 71,551,568,826.56
  5. Step 5: Solve for x
    x = 71,551,568,826.56/171,783.75
  6. Step 6: Final answer
    x = 416,521.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.