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Finding the Third Proportional to 158,793 and 225,713.25

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Solution

The third proportional to 158,793 and 225,713.25 is: 320,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,793 : 225,713.25 = 225,713.25 : x
  2. Step 2: Convert to fraction form
    158,793/225,713.25 = 225,713.25/x
  3. Step 3: Cross multiply
    158,793x = 225,713.25 × 225,713.25
  4. Step 4: Simplify right side
    158,793x = 50,946,471,225.56
  5. Step 5: Solve for x
    x = 50,946,471,225.56/158,793
  6. Step 6: Final answer
    x = 320,835.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.