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Finding the Third Proportional to 190,005.75 and 267,203.81

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Solution

The third proportional to 190,005.75 and 267,203.81 is: 375,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,005.75 : 267,203.81 = 267,203.81 : x
  2. Step 2: Convert to fraction form
    190,005.75/267,203.81 = 267,203.81/x
  3. Step 3: Cross multiply
    190,005.75x = 267,203.81 × 267,203.81
  4. Step 4: Simplify right side
    190,005.75x = 71,397,877,414.54
  5. Step 5: Solve for x
    x = 71,397,877,414.54/190,005.75
  6. Step 6: Final answer
    x = 375,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.