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Finding the Third Proportional to 253,833 and 336,939

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Solution

The third proportional to 253,833 and 336,939 is: 447,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,833 : 336,939 = 336,939 : x
  2. Step 2: Convert to fraction form
    253,833/336,939 = 336,939/x
  3. Step 3: Cross multiply
    253,833x = 336,939 × 336,939
  4. Step 4: Simplify right side
    253,833x = 113,527,889,721
  5. Step 5: Solve for x
    x = 113,527,889,721/253,833
  6. Step 6: Final answer
    x = 447,254.26

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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.