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Finding the Third Proportional to 253,835.25 and 336,943.13

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Solution

The third proportional to 253,835.25 and 336,943.13 is: 447,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,835.25 : 336,943.13 = 336,943.13 : x
  2. Step 2: Convert to fraction form
    253,835.25/336,943.13 = 336,943.13/x
  3. Step 3: Cross multiply
    253,835.25x = 336,943.13 × 336,943.13
  4. Step 4: Simplify right side
    253,835.25x = 113,530,669,484.77
  5. Step 5: Solve for x
    x = 113,530,669,484.77/253,835.25
  6. Step 6: Final answer
    x = 447,261.24

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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.