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Finding the Third Proportional to 232,204 and 326,998

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Solution

The third proportional to 232,204 and 326,998 is: 460,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,204 : 326,998 = 326,998 : x
  2. Step 2: Convert to fraction form
    232,204/326,998 = 326,998/x
  3. Step 3: Cross multiply
    232,204x = 326,998 × 326,998
  4. Step 4: Simplify right side
    232,204x = 106,927,692,004
  5. Step 5: Solve for x
    x = 106,927,692,004/232,204
  6. Step 6: Final answer
    x = 460,490.31

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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.