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Finding the Third Proportional to 224,936 and 339,728

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Solution

The third proportional to 224,936 and 339,728 is: 513,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,936 : 339,728 = 339,728 : x
  2. Step 2: Convert to fraction form
    224,936/339,728 = 339,728/x
  3. Step 3: Cross multiply
    224,936x = 339,728 × 339,728
  4. Step 4: Simplify right side
    224,936x = 115,415,113,984
  5. Step 5: Solve for x
    x = 115,415,113,984/224,936
  6. Step 6: Final answer
    x = 513,102.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.