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Finding the Third Proportional to 133,614 and 278,244

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Solution

The third proportional to 133,614 and 278,244 is: 579,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614 : 278,244 = 278,244 : x
  2. Step 2: Convert to fraction form
    133,614/278,244 = 278,244/x
  3. Step 3: Cross multiply
    133,614x = 278,244 × 278,244
  4. Step 4: Simplify right side
    133,614x = 77,419,723,536
  5. Step 5: Solve for x
    x = 77,419,723,536/133,614
  6. Step 6: Final answer
    x = 579,428.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.