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Finding the Third Proportional to 205,512 and 322,467

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Solution

The third proportional to 205,512 and 322,467 is: 505,980.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512 : 322,467 = 322,467 : x
  2. Step 2: Convert to fraction form
    205,512/322,467 = 322,467/x
  3. Step 3: Cross multiply
    205,512x = 322,467 × 322,467
  4. Step 4: Simplify right side
    205,512x = 103,984,966,089
  5. Step 5: Solve for x
    x = 103,984,966,089/205,512
  6. Step 6: Final answer
    x = 505,980.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.