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Finding the Third Proportional to 140,984 and 305,200

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Solution

The third proportional to 140,984 and 305,200 is: 660,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,984 : 305,200 = 305,200 : x
  2. Step 2: Convert to fraction form
    140,984/305,200 = 305,200/x
  3. Step 3: Cross multiply
    140,984x = 305,200 × 305,200
  4. Step 4: Simplify right side
    140,984x = 93,147,040,000
  5. Step 5: Solve for x
    x = 93,147,040,000/140,984
  6. Step 6: Final answer
    x = 660,692.28

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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.