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Finding the Third Proportional to 127,351 and 276,814

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Solution

The third proportional to 127,351 and 276,814 is: 601,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,351 : 276,814 = 276,814 : x
  2. Step 2: Convert to fraction form
    127,351/276,814 = 276,814/x
  3. Step 3: Cross multiply
    127,351x = 276,814 × 276,814
  4. Step 4: Simplify right side
    127,351x = 76,625,990,596
  5. Step 5: Solve for x
    x = 76,625,990,596/127,351
  6. Step 6: Final answer
    x = 601,691.31

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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.