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Finding the Third Proportional to 226,514 and 316,851

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Solution

The third proportional to 226,514 and 316,851 is: 443,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,514 : 316,851 = 316,851 : x
  2. Step 2: Convert to fraction form
    226,514/316,851 = 316,851/x
  3. Step 3: Cross multiply
    226,514x = 316,851 × 316,851
  4. Step 4: Simplify right side
    226,514x = 100,394,556,201
  5. Step 5: Solve for x
    x = 100,394,556,201/226,514
  6. Step 6: Final answer
    x = 443,215.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.