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Finding the Third Proportional to 70,982 and 156,366.75

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Solution

The third proportional to 70,982 and 156,366.75 is: 344,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982 : 156,366.75 = 156,366.75 : x
  2. Step 2: Convert to fraction form
    70,982/156,366.75 = 156,366.75/x
  3. Step 3: Cross multiply
    70,982x = 156,366.75 × 156,366.75
  4. Step 4: Simplify right side
    70,982x = 24,450,560,505.56
  5. Step 5: Solve for x
    x = 24,450,560,505.56/70,982
  6. Step 6: Final answer
    x = 344,461.42

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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.