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Finding the Third Proportional to 182,408 and 280,200

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Solution

The third proportional to 182,408 and 280,200 is: 430,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,408 : 280,200 = 280,200 : x
  2. Step 2: Convert to fraction form
    182,408/280,200 = 280,200/x
  3. Step 3: Cross multiply
    182,408x = 280,200 × 280,200
  4. Step 4: Simplify right side
    182,408x = 78,512,040,000
  5. Step 5: Solve for x
    x = 78,512,040,000/182,408
  6. Step 6: Final answer
    x = 430,419.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.