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Finding the Third Proportional to 149,586.75 and 206,732.25

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Solution

The third proportional to 149,586.75 and 206,732.25 is: 285,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,586.75 : 206,732.25 = 206,732.25 : x
  2. Step 2: Convert to fraction form
    149,586.75/206,732.25 = 206,732.25/x
  3. Step 3: Cross multiply
    149,586.75x = 206,732.25 × 206,732.25
  4. Step 4: Simplify right side
    149,586.75x = 42,738,223,190.06
  5. Step 5: Solve for x
    x = 42,738,223,190.06/149,586.75
  6. Step 6: Final answer
    x = 285,708.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.