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Finding the Third Proportional to 126,004 and 280,167

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Solution

The third proportional to 126,004 and 280,167 is: 622,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,004 : 280,167 = 280,167 : x
  2. Step 2: Convert to fraction form
    126,004/280,167 = 280,167/x
  3. Step 3: Cross multiply
    126,004x = 280,167 × 280,167
  4. Step 4: Simplify right side
    126,004x = 78,493,547,889
  5. Step 5: Solve for x
    x = 78,493,547,889/126,004
  6. Step 6: Final answer
    x = 622,944.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.