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Finding the Third Proportional to 152,858 and 203,866

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Solution

The third proportional to 152,858 and 203,866 is: 271,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858 : 203,866 = 203,866 : x
  2. Step 2: Convert to fraction form
    152,858/203,866 = 203,866/x
  3. Step 3: Cross multiply
    152,858x = 203,866 × 203,866
  4. Step 4: Simplify right side
    152,858x = 41,561,345,956
  5. Step 5: Solve for x
    x = 41,561,345,956/152,858
  6. Step 6: Final answer
    x = 271,895.13

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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.