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Finding the Third Proportional to 135,924.75 and 319,804.88

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Solution

The third proportional to 135,924.75 and 319,804.88 is: 752,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,924.75 : 319,804.88 = 319,804.88 : x
  2. Step 2: Convert to fraction form
    135,924.75/319,804.88 = 319,804.88/x
  3. Step 3: Cross multiply
    135,924.75x = 319,804.88 × 319,804.88
  4. Step 4: Simplify right side
    135,924.75x = 102,275,158,073.77
  5. Step 5: Solve for x
    x = 102,275,158,073.77/135,924.75
  6. Step 6: Final answer
    x = 752,439.55

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.