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Finding the Third Proportional to 226,019 and 350,166

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Solution

The third proportional to 226,019 and 350,166 is: 542,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,019 : 350,166 = 350,166 : x
  2. Step 2: Convert to fraction form
    226,019/350,166 = 350,166/x
  3. Step 3: Cross multiply
    226,019x = 350,166 × 350,166
  4. Step 4: Simplify right side
    226,019x = 122,616,227,556
  5. Step 5: Solve for x
    x = 122,616,227,556/226,019
  6. Step 6: Final answer
    x = 542,504.07

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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.