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Finding the Third Proportional to 109,566 and 227,556

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Solution

The third proportional to 109,566 and 227,556 is: 472,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,566 : 227,556 = 227,556 : x
  2. Step 2: Convert to fraction form
    109,566/227,556 = 227,556/x
  3. Step 3: Cross multiply
    109,566x = 227,556 × 227,556
  4. Step 4: Simplify right side
    109,566x = 51,781,733,136
  5. Step 5: Solve for x
    x = 51,781,733,136/109,566
  6. Step 6: Final answer
    x = 472,607.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.