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Finding the Third Proportional to 228,769 and 330,026

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Solution

The third proportional to 228,769 and 330,026 is: 476,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,769 : 330,026 = 330,026 : x
  2. Step 2: Convert to fraction form
    228,769/330,026 = 330,026/x
  3. Step 3: Cross multiply
    228,769x = 330,026 × 330,026
  4. Step 4: Simplify right side
    228,769x = 108,917,160,676
  5. Step 5: Solve for x
    x = 108,917,160,676/228,769
  6. Step 6: Final answer
    x = 476,101.05

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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.