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Finding the Third Proportional to 193,190.50 and 414,946.75

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Solution

The third proportional to 193,190.50 and 414,946.75 is: 891,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,190.50 : 414,946.75 = 414,946.75 : x
  2. Step 2: Convert to fraction form
    193,190.50/414,946.75 = 414,946.75/x
  3. Step 3: Cross multiply
    193,190.50x = 414,946.75 × 414,946.75
  4. Step 4: Simplify right side
    193,190.50x = 172,180,805,335.56
  5. Step 5: Solve for x
    x = 172,180,805,335.56/193,190.50
  6. Step 6: Final answer
    x = 891,248.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.