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Finding the Third Proportional to 270,966 and 381,243

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Solution

The third proportional to 270,966 and 381,243 is: 536,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,966 : 381,243 = 381,243 : x
  2. Step 2: Convert to fraction form
    270,966/381,243 = 381,243/x
  3. Step 3: Cross multiply
    270,966x = 381,243 × 381,243
  4. Step 4: Simplify right side
    270,966x = 145,346,225,049
  5. Step 5: Solve for x
    x = 145,346,225,049/270,966
  6. Step 6: Final answer
    x = 536,400.23

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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.