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Finding the Third Proportional to 228,216 and 333,873

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Solution

The third proportional to 228,216 and 333,873 is: 488,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,216 : 333,873 = 333,873 : x
  2. Step 2: Convert to fraction form
    228,216/333,873 = 333,873/x
  3. Step 3: Cross multiply
    228,216x = 333,873 × 333,873
  4. Step 4: Simplify right side
    228,216x = 111,471,180,129
  5. Step 5: Solve for x
    x = 111,471,180,129/228,216
  6. Step 6: Final answer
    x = 488,445.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.