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Finding the Third Proportional to 163,077.75 and 259,439.25

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Solution

The third proportional to 163,077.75 and 259,439.25 is: 412,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,077.75 : 259,439.25 = 259,439.25 : x
  2. Step 2: Convert to fraction form
    163,077.75/259,439.25 = 259,439.25/x
  3. Step 3: Cross multiply
    163,077.75x = 259,439.25 × 259,439.25
  4. Step 4: Simplify right side
    163,077.75x = 67,308,724,440.56
  5. Step 5: Solve for x
    x = 67,308,724,440.56/163,077.75
  6. Step 6: Final answer
    x = 412,740.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.