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Finding the Third Proportional to 232,393 and 327,246

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Solution

The third proportional to 232,393 and 327,246 is: 460,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,393 : 327,246 = 327,246 : x
  2. Step 2: Convert to fraction form
    232,393/327,246 = 327,246/x
  3. Step 3: Cross multiply
    232,393x = 327,246 × 327,246
  4. Step 4: Simplify right side
    232,393x = 107,089,944,516
  5. Step 5: Solve for x
    x = 107,089,944,516/232,393
  6. Step 6: Final answer
    x = 460,813.99

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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.