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Finding the Third Proportional to 126,334 and 270,172

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Solution

The third proportional to 126,334 and 270,172 is: 577,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,334 : 270,172 = 270,172 : x
  2. Step 2: Convert to fraction form
    126,334/270,172 = 270,172/x
  3. Step 3: Cross multiply
    126,334x = 270,172 × 270,172
  4. Step 4: Simplify right side
    126,334x = 72,992,909,584
  5. Step 5: Solve for x
    x = 72,992,909,584/126,334
  6. Step 6: Final answer
    x = 577,777.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.