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Finding the Third Proportional to 152,860 and 203,868

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Solution

The third proportional to 152,860 and 203,868 is: 271,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,860 : 203,868 = 203,868 : x
  2. Step 2: Convert to fraction form
    152,860/203,868 = 203,868/x
  3. Step 3: Cross multiply
    152,860x = 203,868 × 203,868
  4. Step 4: Simplify right side
    152,860x = 41,562,161,424
  5. Step 5: Solve for x
    x = 41,562,161,424/152,860
  6. Step 6: Final answer
    x = 271,896.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.