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Finding the Third Proportional to 126,336 and 270,176

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Solution

The third proportional to 126,336 and 270,176 is: 577,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,336 : 270,176 = 270,176 : x
  2. Step 2: Convert to fraction form
    126,336/270,176 = 270,176/x
  3. Step 3: Cross multiply
    126,336x = 270,176 × 270,176
  4. Step 4: Simplify right side
    126,336x = 72,995,070,976
  5. Step 5: Solve for x
    x = 72,995,070,976/126,336
  6. Step 6: Final answer
    x = 577,785.20

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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.