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Finding the Third Proportional to 211,194 and 329,751

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Solution

The third proportional to 211,194 and 329,751 is: 514,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194 : 329,751 = 329,751 : x
  2. Step 2: Convert to fraction form
    211,194/329,751 = 329,751/x
  3. Step 3: Cross multiply
    211,194x = 329,751 × 329,751
  4. Step 4: Simplify right side
    211,194x = 108,735,722,001
  5. Step 5: Solve for x
    x = 108,735,722,001/211,194
  6. Step 6: Final answer
    x = 514,861.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.