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Finding the Third Proportional to 253,831 and 336,937.25

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Solution

The third proportional to 253,831 and 336,937.25 is: 447,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,831 : 336,937.25 = 336,937.25 : x
  2. Step 2: Convert to fraction form
    253,831/336,937.25 = 336,937.25/x
  3. Step 3: Cross multiply
    253,831x = 336,937.25 × 336,937.25
  4. Step 4: Simplify right side
    253,831x = 113,526,710,437.56
  5. Step 5: Solve for x
    x = 113,526,710,437.56/253,831
  6. Step 6: Final answer
    x = 447,253.13

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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.