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Finding the Third Proportional to 126,270 and 280,567

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Solution

The third proportional to 126,270 and 280,567 is: 623,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,270 : 280,567 = 280,567 : x
  2. Step 2: Convert to fraction form
    126,270/280,567 = 280,567/x
  3. Step 3: Cross multiply
    126,270x = 280,567 × 280,567
  4. Step 4: Simplify right side
    126,270x = 78,717,841,489
  5. Step 5: Solve for x
    x = 78,717,841,489/126,270
  6. Step 6: Final answer
    x = 623,408.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.