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Finding the Third Proportional to 225,864 and 330,297

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Solution

The third proportional to 225,864 and 330,297 is: 483,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864 : 330,297 = 330,297 : x
  2. Step 2: Convert to fraction form
    225,864/330,297 = 330,297/x
  3. Step 3: Cross multiply
    225,864x = 330,297 × 330,297
  4. Step 4: Simplify right side
    225,864x = 109,096,108,209
  5. Step 5: Solve for x
    x = 109,096,108,209/225,864
  6. Step 6: Final answer
    x = 483,016.81

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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.