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Finding the Third Proportional to 226,032 and 350,211

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Solution

The third proportional to 226,032 and 350,211 is: 542,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,032 : 350,211 = 350,211 : x
  2. Step 2: Convert to fraction form
    226,032/350,211 = 350,211/x
  3. Step 3: Cross multiply
    226,032x = 350,211 × 350,211
  4. Step 4: Simplify right side
    226,032x = 122,647,744,521
  5. Step 5: Solve for x
    x = 122,647,744,521/226,032
  6. Step 6: Final answer
    x = 542,612.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.