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Finding the Third Proportional to 190,008 and 267,206

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Solution

The third proportional to 190,008 and 267,206 is: 375,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,008 : 267,206 = 267,206 : x
  2. Step 2: Convert to fraction form
    190,008/267,206 = 267,206/x
  3. Step 3: Cross multiply
    190,008x = 267,206 × 267,206
  4. Step 4: Simplify right side
    190,008x = 71,399,046,436
  5. Step 5: Solve for x
    x = 71,399,046,436/190,008
  6. Step 6: Final answer
    x = 375,768.63

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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.