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Finding the Third Proportional to 126,434 and 270,148

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Solution

The third proportional to 126,434 and 270,148 is: 577,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,434 : 270,148 = 270,148 : x
  2. Step 2: Convert to fraction form
    126,434/270,148 = 270,148/x
  3. Step 3: Cross multiply
    126,434x = 270,148 × 270,148
  4. Step 4: Simplify right side
    126,434x = 72,979,941,904
  5. Step 5: Solve for x
    x = 72,979,941,904/126,434
  6. Step 6: Final answer
    x = 577,217.69

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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.