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Finding the Third Proportional to 126,456.19 and 264,601.69

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Solution

The third proportional to 126,456.19 and 264,601.69 is: 553,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456.19 : 264,601.69 = 264,601.69 : x
  2. Step 2: Convert to fraction form
    126,456.19/264,601.69 = 264,601.69/x
  3. Step 3: Cross multiply
    126,456.19x = 264,601.69 × 264,601.69
  4. Step 4: Simplify right side
    126,456.19x = 70,014,053,027.85
  5. Step 5: Solve for x
    x = 70,014,053,027.85/126,456.19
  6. Step 6: Final answer
    x = 553,662.53

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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.