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Finding the Third Proportional to 204,372 and 306,837

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Solution

The third proportional to 204,372 and 306,837 is: 460,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,372 : 306,837 = 306,837 : x
  2. Step 2: Convert to fraction form
    204,372/306,837 = 306,837/x
  3. Step 3: Cross multiply
    204,372x = 306,837 × 306,837
  4. Step 4: Simplify right side
    204,372x = 94,148,944,569
  5. Step 5: Solve for x
    x = 94,148,944,569/204,372
  6. Step 6: Final answer
    x = 460,674.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.