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Finding the Third Proportional to 236,409.75 and 354,858.75

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Solution

The third proportional to 236,409.75 and 354,858.75 is: 532,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,409.75 : 354,858.75 = 354,858.75 : x
  2. Step 2: Convert to fraction form
    236,409.75/354,858.75 = 354,858.75/x
  3. Step 3: Cross multiply
    236,409.75x = 354,858.75 × 354,858.75
  4. Step 4: Simplify right side
    236,409.75x = 125,924,732,451.56
  5. Step 5: Solve for x
    x = 125,924,732,451.56/236,409.75
  6. Step 6: Final answer
    x = 532,654.56

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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.