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Finding the Third Proportional to 228,230 and 350,044

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Solution

The third proportional to 228,230 and 350,044 is: 536,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,230 : 350,044 = 350,044 : x
  2. Step 2: Convert to fraction form
    228,230/350,044 = 350,044/x
  3. Step 3: Cross multiply
    228,230x = 350,044 × 350,044
  4. Step 4: Simplify right side
    228,230x = 122,530,801,936
  5. Step 5: Solve for x
    x = 122,530,801,936/228,230
  6. Step 6: Final answer
    x = 536,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.