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Finding the Third Proportional to 256,041 and 368,811

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Solution

The third proportional to 256,041 and 368,811 is: 531,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041 : 368,811 = 368,811 : x
  2. Step 2: Convert to fraction form
    256,041/368,811 = 368,811/x
  3. Step 3: Cross multiply
    256,041x = 368,811 × 368,811
  4. Step 4: Simplify right side
    256,041x = 136,021,553,721
  5. Step 5: Solve for x
    x = 136,021,553,721/256,041
  6. Step 6: Final answer
    x = 531,249.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.