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Finding the Third Proportional to 69,684 and 154,920

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Solution

The third proportional to 69,684 and 154,920 is: 344,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684 : 154,920 = 154,920 : x
  2. Step 2: Convert to fraction form
    69,684/154,920 = 154,920/x
  3. Step 3: Cross multiply
    69,684x = 154,920 × 154,920
  4. Step 4: Simplify right side
    69,684x = 24,000,206,400
  5. Step 5: Solve for x
    x = 24,000,206,400/69,684
  6. Step 6: Final answer
    x = 344,414.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.