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Finding the Third Proportional to 87,560 and 205,556

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Solution

The third proportional to 87,560 and 205,556 is: 482,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,560 : 205,556 = 205,556 : x
  2. Step 2: Convert to fraction form
    87,560/205,556 = 205,556/x
  3. Step 3: Cross multiply
    87,560x = 205,556 × 205,556
  4. Step 4: Simplify right side
    87,560x = 42,253,269,136
  5. Step 5: Solve for x
    x = 42,253,269,136/87,560
  6. Step 6: Final answer
    x = 482,563.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.