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Finding the Third Proportional to 126,454.92 and 264,601.69

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Solution

The third proportional to 126,454.92 and 264,601.69 is: 553,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,454.92 : 264,601.69 = 264,601.69 : x
  2. Step 2: Convert to fraction form
    126,454.92/264,601.69 = 264,601.69/x
  3. Step 3: Cross multiply
    126,454.92x = 264,601.69 × 264,601.69
  4. Step 4: Simplify right side
    126,454.92x = 70,014,053,027.85
  5. Step 5: Solve for x
    x = 70,014,053,027.85/126,454.92
  6. Step 6: Final answer
    x = 553,668.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.