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Finding the Third Proportional to 228,960 and 350,238

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Solution

The third proportional to 228,960 and 350,238 is: 535,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,960 : 350,238 = 350,238 : x
  2. Step 2: Convert to fraction form
    228,960/350,238 = 350,238/x
  3. Step 3: Cross multiply
    228,960x = 350,238 × 350,238
  4. Step 4: Simplify right side
    228,960x = 122,666,656,644
  5. Step 5: Solve for x
    x = 122,666,656,644/228,960
  6. Step 6: Final answer
    x = 535,755.84

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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.