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Finding the Third Proportional to 213,067.50 and 466,227

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Solution

The third proportional to 213,067.50 and 466,227 is: 1,020,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,067.50 : 466,227 = 466,227 : x
  2. Step 2: Convert to fraction form
    213,067.50/466,227 = 466,227/x
  3. Step 3: Cross multiply
    213,067.50x = 466,227 × 466,227
  4. Step 4: Simplify right side
    213,067.50x = 217,367,615,529
  5. Step 5: Solve for x
    x = 217,367,615,529/213,067.50
  6. Step 6: Final answer
    x = 1,020,181.94

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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.