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Finding the Third Proportional to 126,216 and 276,191

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Solution

The third proportional to 126,216 and 276,191 is: 604,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,216 : 276,191 = 276,191 : x
  2. Step 2: Convert to fraction form
    126,216/276,191 = 276,191/x
  3. Step 3: Cross multiply
    126,216x = 276,191 × 276,191
  4. Step 4: Simplify right side
    126,216x = 76,281,468,481
  5. Step 5: Solve for x
    x = 76,281,468,481/126,216
  6. Step 6: Final answer
    x = 604,372.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.