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Finding the Third Proportional to 213,041 and 466,174

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Solution

The third proportional to 213,041 and 466,174 is: 1,020,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,041 : 466,174 = 466,174 : x
  2. Step 2: Convert to fraction form
    213,041/466,174 = 466,174/x
  3. Step 3: Cross multiply
    213,041x = 466,174 × 466,174
  4. Step 4: Simplify right side
    213,041x = 217,318,198,276
  5. Step 5: Solve for x
    x = 217,318,198,276/213,041
  6. Step 6: Final answer
    x = 1,020,076.88

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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.