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Finding the Third Proportional to 154,022 and 337,077

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Solution

The third proportional to 154,022 and 337,077 is: 737,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,022 : 337,077 = 337,077 : x
  2. Step 2: Convert to fraction form
    154,022/337,077 = 337,077/x
  3. Step 3: Cross multiply
    154,022x = 337,077 × 337,077
  4. Step 4: Simplify right side
    154,022x = 113,620,903,929
  5. Step 5: Solve for x
    x = 113,620,903,929/154,022
  6. Step 6: Final answer
    x = 737,692.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.