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Finding the Third Proportional to 232,508 and 329,090

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Solution

The third proportional to 232,508 and 329,090 is: 465,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,508 : 329,090 = 329,090 : x
  2. Step 2: Convert to fraction form
    232,508/329,090 = 329,090/x
  3. Step 3: Cross multiply
    232,508x = 329,090 × 329,090
  4. Step 4: Simplify right side
    232,508x = 108,300,228,100
  5. Step 5: Solve for x
    x = 108,300,228,100/232,508
  6. Step 6: Final answer
    x = 465,791.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.