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Finding the Third Proportional to 141,524 and 305,200

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Solution

The third proportional to 141,524 and 305,200 is: 658,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,524 : 305,200 = 305,200 : x
  2. Step 2: Convert to fraction form
    141,524/305,200 = 305,200/x
  3. Step 3: Cross multiply
    141,524x = 305,200 × 305,200
  4. Step 4: Simplify right side
    141,524x = 93,147,040,000
  5. Step 5: Solve for x
    x = 93,147,040,000/141,524
  6. Step 6: Final answer
    x = 658,171.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.