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Finding the Third Proportional to 192,591 and 277,410

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Solution

The third proportional to 192,591 and 277,410 is: 399,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,591 : 277,410 = 277,410 : x
  2. Step 2: Convert to fraction form
    192,591/277,410 = 277,410/x
  3. Step 3: Cross multiply
    192,591x = 277,410 × 277,410
  4. Step 4: Simplify right side
    192,591x = 76,956,308,100
  5. Step 5: Solve for x
    x = 76,956,308,100/192,591
  6. Step 6: Final answer
    x = 399,584.13

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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.