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Finding the Third Proportional to 225,872 and 330,330

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Solution

The third proportional to 225,872 and 330,330 is: 483,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,872 : 330,330 = 330,330 : x
  2. Step 2: Convert to fraction form
    225,872/330,330 = 330,330/x
  3. Step 3: Cross multiply
    225,872x = 330,330 × 330,330
  4. Step 4: Simplify right side
    225,872x = 109,117,908,900
  5. Step 5: Solve for x
    x = 109,117,908,900/225,872
  6. Step 6: Final answer
    x = 483,096.22

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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.