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Finding the Third Proportional to 190,410 and 267,471

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Solution

The third proportional to 190,410 and 267,471 is: 375,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,410 : 267,471 = 267,471 : x
  2. Step 2: Convert to fraction form
    190,410/267,471 = 267,471/x
  3. Step 3: Cross multiply
    190,410x = 267,471 × 267,471
  4. Step 4: Simplify right side
    190,410x = 71,540,735,841
  5. Step 5: Solve for x
    x = 71,540,735,841/190,410
  6. Step 6: Final answer
    x = 375,719.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.