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Finding the Third Proportional to 126,464 and 264,619

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Solution

The third proportional to 126,464 and 264,619 is: 553,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,464 : 264,619 = 264,619 : x
  2. Step 2: Convert to fraction form
    126,464/264,619 = 264,619/x
  3. Step 3: Cross multiply
    126,464x = 264,619 × 264,619
  4. Step 4: Simplify right side
    126,464x = 70,023,215,161
  5. Step 5: Solve for x
    x = 70,023,215,161/126,464
  6. Step 6: Final answer
    x = 553,700.78

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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.