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Finding the Third Proportional to 253,837 and 336,946

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Solution

The third proportional to 253,837 and 336,946 is: 447,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,837 : 336,946 = 336,946 : x
  2. Step 2: Convert to fraction form
    253,837/336,946 = 336,946/x
  3. Step 3: Cross multiply
    253,837x = 336,946 × 336,946
  4. Step 4: Simplify right side
    253,837x = 113,532,606,916
  5. Step 5: Solve for x
    x = 113,532,606,916/253,837
  6. Step 6: Final answer
    x = 447,265.79

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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.