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Finding the Third Proportional to 232,282 and 327,114

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Solution

The third proportional to 232,282 and 327,114 is: 460,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,282 : 327,114 = 327,114 : x
  2. Step 2: Convert to fraction form
    232,282/327,114 = 327,114/x
  3. Step 3: Cross multiply
    232,282x = 327,114 × 327,114
  4. Step 4: Simplify right side
    232,282x = 107,003,568,996
  5. Step 5: Solve for x
    x = 107,003,568,996/232,282
  6. Step 6: Final answer
    x = 460,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.