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Finding the Third Proportional to 126,456 and 264,603

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Solution

The third proportional to 126,456 and 264,603 is: 553,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456 : 264,603 = 264,603 : x
  2. Step 2: Convert to fraction form
    126,456/264,603 = 264,603/x
  3. Step 3: Cross multiply
    126,456x = 264,603 × 264,603
  4. Step 4: Simplify right side
    126,456x = 70,014,747,609
  5. Step 5: Solve for x
    x = 70,014,747,609/126,456
  6. Step 6: Final answer
    x = 553,668.85

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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.