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Finding the Third Proportional to 224,929 and 339,717

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Solution

The third proportional to 224,929 and 339,717 is: 513,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,929 : 339,717 = 339,717 : x
  2. Step 2: Convert to fraction form
    224,929/339,717 = 339,717/x
  3. Step 3: Cross multiply
    224,929x = 339,717 × 339,717
  4. Step 4: Simplify right side
    224,929x = 115,407,640,089
  5. Step 5: Solve for x
    x = 115,407,640,089/224,929
  6. Step 6: Final answer
    x = 513,084.75

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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.