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Finding the Third Proportional to 226,721 and 338,897

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Solution

The third proportional to 226,721 and 338,897 is: 506,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,721 : 338,897 = 338,897 : x
  2. Step 2: Convert to fraction form
    226,721/338,897 = 338,897/x
  3. Step 3: Cross multiply
    226,721x = 338,897 × 338,897
  4. Step 4: Simplify right side
    226,721x = 114,851,176,609
  5. Step 5: Solve for x
    x = 114,851,176,609/226,721
  6. Step 6: Final answer
    x = 506,574.94

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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.