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Finding the Third Proportional to 163,804.50 and 220,118

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Solution

The third proportional to 163,804.50 and 220,118 is: 295,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,804.50 : 220,118 = 220,118 : x
  2. Step 2: Convert to fraction form
    163,804.50/220,118 = 220,118/x
  3. Step 3: Cross multiply
    163,804.50x = 220,118 × 220,118
  4. Step 4: Simplify right side
    163,804.50x = 48,451,933,924
  5. Step 5: Solve for x
    x = 48,451,933,924/163,804.50
  6. Step 6: Final answer
    x = 295,791.23

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.