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Finding the Third Proportional to 126,496 and 264,616

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Solution

The third proportional to 126,496 and 264,616 is: 553,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,496 : 264,616 = 264,616 : x
  2. Step 2: Convert to fraction form
    126,496/264,616 = 264,616/x
  3. Step 3: Cross multiply
    126,496x = 264,616 × 264,616
  4. Step 4: Simplify right side
    126,496x = 70,021,627,456
  5. Step 5: Solve for x
    x = 70,021,627,456/126,496
  6. Step 6: Final answer
    x = 553,548.16

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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.