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Finding the Third Proportional to 142,625 and 305,491

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Solution

The third proportional to 142,625 and 305,491 is: 654,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,625 : 305,491 = 305,491 : x
  2. Step 2: Convert to fraction form
    142,625/305,491 = 305,491/x
  3. Step 3: Cross multiply
    142,625x = 305,491 × 305,491
  4. Step 4: Simplify right side
    142,625x = 93,324,751,081
  5. Step 5: Solve for x
    x = 93,324,751,081/142,625
  6. Step 6: Final answer
    x = 654,336.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.