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Finding the Third Proportional to 224,412.75 and 327,939.75

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Solution

The third proportional to 224,412.75 and 327,939.75 is: 479,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,412.75 : 327,939.75 = 327,939.75 : x
  2. Step 2: Convert to fraction form
    224,412.75/327,939.75 = 327,939.75/x
  3. Step 3: Cross multiply
    224,412.75x = 327,939.75 × 327,939.75
  4. Step 4: Simplify right side
    224,412.75x = 107,544,479,630.06
  5. Step 5: Solve for x
    x = 107,544,479,630.06/224,412.75
  6. Step 6: Final answer
    x = 479,226.25

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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.