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Finding the Third Proportional to 126,984 and 270,844

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Solution

The third proportional to 126,984 and 270,844 is: 577,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,984 : 270,844 = 270,844 : x
  2. Step 2: Convert to fraction form
    126,984/270,844 = 270,844/x
  3. Step 3: Cross multiply
    126,984x = 270,844 × 270,844
  4. Step 4: Simplify right side
    126,984x = 73,356,472,336
  5. Step 5: Solve for x
    x = 73,356,472,336/126,984
  6. Step 6: Final answer
    x = 577,682.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.