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Finding the Third Proportional to 205,968 and 481,200

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Solution

The third proportional to 205,968 and 481,200 is: 1,124,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,968 : 481,200 = 481,200 : x
  2. Step 2: Convert to fraction form
    205,968/481,200 = 481,200/x
  3. Step 3: Cross multiply
    205,968x = 481,200 × 481,200
  4. Step 4: Simplify right side
    205,968x = 231,553,440,000
  5. Step 5: Solve for x
    x = 231,553,440,000/205,968
  6. Step 6: Final answer
    x = 1,124,220.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.