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Finding the Third Proportional to 228,766 and 330,023

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Solution

The third proportional to 228,766 and 330,023 is: 476,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,766 : 330,023 = 330,023 : x
  2. Step 2: Convert to fraction form
    228,766/330,023 = 330,023/x
  3. Step 3: Cross multiply
    228,766x = 330,023 × 330,023
  4. Step 4: Simplify right side
    228,766x = 108,915,180,529
  5. Step 5: Solve for x
    x = 108,915,180,529/228,766
  6. Step 6: Final answer
    x = 476,098.64

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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.