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Finding the Third Proportional to 236,644.88 and 354,616.31

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Solution

The third proportional to 236,644.88 and 354,616.31 is: 531,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,644.88 : 354,616.31 = 354,616.31 : x
  2. Step 2: Convert to fraction form
    236,644.88/354,616.31 = 354,616.31/x
  3. Step 3: Cross multiply
    236,644.88x = 354,616.31 × 354,616.31
  4. Step 4: Simplify right side
    236,644.88x = 125,752,729,091.10
  5. Step 5: Solve for x
    x = 125,752,729,091.10/236,644.88
  6. Step 6: Final answer
    x = 531,398.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.