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Finding the Third Proportional to 226,722 and 338,898

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Solution

The third proportional to 226,722 and 338,898 is: 506,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,722 : 338,898 = 338,898 : x
  2. Step 2: Convert to fraction form
    226,722/338,898 = 338,898/x
  3. Step 3: Cross multiply
    226,722x = 338,898 × 338,898
  4. Step 4: Simplify right side
    226,722x = 114,851,854,404
  5. Step 5: Solve for x
    x = 114,851,854,404/226,722
  6. Step 6: Final answer
    x = 506,575.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.