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Finding the Third Proportional to 154,335 and 204,837

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Solution

The third proportional to 154,335 and 204,837 is: 271,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335 : 204,837 = 204,837 : x
  2. Step 2: Convert to fraction form
    154,335/204,837 = 204,837/x
  3. Step 3: Cross multiply
    154,335x = 204,837 × 204,837
  4. Step 4: Simplify right side
    154,335x = 41,958,196,569
  5. Step 5: Solve for x
    x = 41,958,196,569/154,335
  6. Step 6: Final answer
    x = 271,864.43

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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.