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Finding the Third Proportional to 127,353 and 276,821

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Solution

The third proportional to 127,353 and 276,821 is: 601,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,353 : 276,821 = 276,821 : x
  2. Step 2: Convert to fraction form
    127,353/276,821 = 276,821/x
  3. Step 3: Cross multiply
    127,353x = 276,821 × 276,821
  4. Step 4: Simplify right side
    127,353x = 76,629,866,041
  5. Step 5: Solve for x
    x = 76,629,866,041/127,353
  6. Step 6: Final answer
    x = 601,712.30

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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.