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Finding the Third Proportional to 104,635 and 228,831

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Solution

The third proportional to 104,635 and 228,831 is: 500,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,635 : 228,831 = 228,831 : x
  2. Step 2: Convert to fraction form
    104,635/228,831 = 228,831/x
  3. Step 3: Cross multiply
    104,635x = 228,831 × 228,831
  4. Step 4: Simplify right side
    104,635x = 52,363,626,561
  5. Step 5: Solve for x
    x = 52,363,626,561/104,635
  6. Step 6: Final answer
    x = 500,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.