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Finding the Third Proportional to 228,946.50 and 464,103

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Solution

The third proportional to 228,946.50 and 464,103 is: 940,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,946.50 : 464,103 = 464,103 : x
  2. Step 2: Convert to fraction form
    228,946.50/464,103 = 464,103/x
  3. Step 3: Cross multiply
    228,946.50x = 464,103 × 464,103
  4. Step 4: Simplify right side
    228,946.50x = 215,391,594,609
  5. Step 5: Solve for x
    x = 215,391,594,609/228,946.50
  6. Step 6: Final answer
    x = 940,794.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.