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Finding the Third Proportional to 107,230 and 226,556

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Solution

The third proportional to 107,230 and 226,556 is: 478,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,230 : 226,556 = 226,556 : x
  2. Step 2: Convert to fraction form
    107,230/226,556 = 226,556/x
  3. Step 3: Cross multiply
    107,230x = 226,556 × 226,556
  4. Step 4: Simplify right side
    107,230x = 51,327,621,136
  5. Step 5: Solve for x
    x = 51,327,621,136/107,230
  6. Step 6: Final answer
    x = 478,668.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.