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Finding the Third Proportional to 224,227 and 335,722

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Solution

The third proportional to 224,227 and 335,722 is: 502,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,227 : 335,722 = 335,722 : x
  2. Step 2: Convert to fraction form
    224,227/335,722 = 335,722/x
  3. Step 3: Cross multiply
    224,227x = 335,722 × 335,722
  4. Step 4: Simplify right side
    224,227x = 112,709,261,284
  5. Step 5: Solve for x
    x = 112,709,261,284/224,227
  6. Step 6: Final answer
    x = 502,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.