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Finding the Third Proportional to 126,911 and 300,659

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Solution

The third proportional to 126,911 and 300,659 is: 712,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,911 : 300,659 = 300,659 : x
  2. Step 2: Convert to fraction form
    126,911/300,659 = 300,659/x
  3. Step 3: Cross multiply
    126,911x = 300,659 × 300,659
  4. Step 4: Simplify right side
    126,911x = 90,395,834,281
  5. Step 5: Solve for x
    x = 90,395,834,281/126,911
  6. Step 6: Final answer
    x = 712,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.