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Finding the Third Proportional to 228,760 and 330,017

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Solution

The third proportional to 228,760 and 330,017 is: 476,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,760 : 330,017 = 330,017 : x
  2. Step 2: Convert to fraction form
    228,760/330,017 = 330,017/x
  3. Step 3: Cross multiply
    228,760x = 330,017 × 330,017
  4. Step 4: Simplify right side
    228,760x = 108,911,220,289
  5. Step 5: Solve for x
    x = 108,911,220,289/228,760
  6. Step 6: Final answer
    x = 476,093.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.