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Finding the Third Proportional to 70,614 and 155,220.75

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Solution

The third proportional to 70,614 and 155,220.75 is: 341,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614 : 155,220.75 = 155,220.75 : x
  2. Step 2: Convert to fraction form
    70,614/155,220.75 = 155,220.75/x
  3. Step 3: Cross multiply
    70,614x = 155,220.75 × 155,220.75
  4. Step 4: Simplify right side
    70,614x = 24,093,481,230.56
  5. Step 5: Solve for x
    x = 24,093,481,230.56/70,614
  6. Step 6: Final answer
    x = 341,199.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.