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Finding the Third Proportional to 194,649.75 and 418,396.50

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Solution

The third proportional to 194,649.75 and 418,396.50 is: 899,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,649.75 : 418,396.50 = 418,396.50 : x
  2. Step 2: Convert to fraction form
    194,649.75/418,396.50 = 418,396.50/x
  3. Step 3: Cross multiply
    194,649.75x = 418,396.50 × 418,396.50
  4. Step 4: Simplify right side
    194,649.75x = 175,055,631,212.25
  5. Step 5: Solve for x
    x = 175,055,631,212.25/194,649.75
  6. Step 6: Final answer
    x = 899,336.53

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Why These Related Problems?

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