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Finding the Third Proportional to 69,984 and 154,183.50

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Solution

The third proportional to 69,984 and 154,183.50 is: 339,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984 : 154,183.50 = 154,183.50 : x
  2. Step 2: Convert to fraction form
    69,984/154,183.50 = 154,183.50/x
  3. Step 3: Cross multiply
    69,984x = 154,183.50 × 154,183.50
  4. Step 4: Simplify right side
    69,984x = 23,772,551,672.25
  5. Step 5: Solve for x
    x = 23,772,551,672.25/69,984
  6. Step 6: Final answer
    x = 339,685.52

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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.