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Finding the Third Proportional to 232,400 and 327,254

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Solution

The third proportional to 232,400 and 327,254 is: 460,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,400 : 327,254 = 327,254 : x
  2. Step 2: Convert to fraction form
    232,400/327,254 = 327,254/x
  3. Step 3: Cross multiply
    232,400x = 327,254 × 327,254
  4. Step 4: Simplify right side
    232,400x = 107,095,180,516
  5. Step 5: Solve for x
    x = 107,095,180,516/232,400
  6. Step 6: Final answer
    x = 460,822.64

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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.