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Finding the Third Proportional to 127,811 and 276,780

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Solution

The third proportional to 127,811 and 276,780 is: 599,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,811 : 276,780 = 276,780 : x
  2. Step 2: Convert to fraction form
    127,811/276,780 = 276,780/x
  3. Step 3: Cross multiply
    127,811x = 276,780 × 276,780
  4. Step 4: Simplify right side
    127,811x = 76,607,168,400
  5. Step 5: Solve for x
    x = 76,607,168,400/127,811
  6. Step 6: Final answer
    x = 599,378.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.