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Finding the Third Proportional to 163,274.25 and 252,192.75

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Solution

The third proportional to 163,274.25 and 252,192.75 is: 389,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,274.25 : 252,192.75 = 252,192.75 : x
  2. Step 2: Convert to fraction form
    163,274.25/252,192.75 = 252,192.75/x
  3. Step 3: Cross multiply
    163,274.25x = 252,192.75 × 252,192.75
  4. Step 4: Simplify right side
    163,274.25x = 63,601,183,152.56
  5. Step 5: Solve for x
    x = 63,601,183,152.56/163,274.25
  6. Step 6: Final answer
    x = 389,535.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.