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Finding the Third Proportional to 70,777 and 166,841.50

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Solution

The third proportional to 70,777 and 166,841.50 is: 393,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777 : 166,841.50 = 166,841.50 : x
  2. Step 2: Convert to fraction form
    70,777/166,841.50 = 166,841.50/x
  3. Step 3: Cross multiply
    70,777x = 166,841.50 × 166,841.50
  4. Step 4: Simplify right side
    70,777x = 27,836,086,122.25
  5. Step 5: Solve for x
    x = 27,836,086,122.25/70,777
  6. Step 6: Final answer
    x = 393,292.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.