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Finding the Third Proportional to 225,945 and 330,258

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Solution

The third proportional to 225,945 and 330,258 is: 482,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,945 : 330,258 = 330,258 : x
  2. Step 2: Convert to fraction form
    225,945/330,258 = 330,258/x
  3. Step 3: Cross multiply
    225,945x = 330,258 × 330,258
  4. Step 4: Simplify right side
    225,945x = 109,070,346,564
  5. Step 5: Solve for x
    x = 109,070,346,564/225,945
  6. Step 6: Final answer
    x = 482,729.63

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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.