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Finding the Third Proportional to 194,838.75 and 418,793.63

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Solution

The third proportional to 194,838.75 and 418,793.63 is: 900,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838.75 : 418,793.63 = 418,793.63 : x
  2. Step 2: Convert to fraction form
    194,838.75/418,793.63 = 418,793.63/x
  3. Step 3: Cross multiply
    194,838.75x = 418,793.63 × 418,793.63
  4. Step 4: Simplify right side
    194,838.75x = 175,388,100,340.64
  5. Step 5: Solve for x
    x = 175,388,100,340.64/194,838.75
  6. Step 6: Final answer
    x = 900,170.53

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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.