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Finding the Third Proportional to 225,808.03 and 330,233.34

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Solution

The third proportional to 225,808.03 and 330,233.34 is: 482,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,808.03 : 330,233.34 = 330,233.34 : x
  2. Step 2: Convert to fraction form
    225,808.03/330,233.34 = 330,233.34/x
  3. Step 3: Cross multiply
    225,808.03x = 330,233.34 × 330,233.34
  4. Step 4: Simplify right side
    225,808.03x = 109,054,061,324.31
  5. Step 5: Solve for x
    x = 109,054,061,324.31/225,808.03
  6. Step 6: Final answer
    x = 482,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.