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Finding the Third Proportional to 152,852 and 203,857

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Solution

The third proportional to 152,852 and 203,857 is: 271,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,852 : 203,857 = 203,857 : x
  2. Step 2: Convert to fraction form
    152,852/203,857 = 203,857/x
  3. Step 3: Cross multiply
    152,852x = 203,857 × 203,857
  4. Step 4: Simplify right side
    152,852x = 41,557,676,449
  5. Step 5: Solve for x
    x = 41,557,676,449/152,852
  6. Step 6: Final answer
    x = 271,881.80

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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.