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Finding the Third Proportional to 190,738.50 and 414,249

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Solution

The third proportional to 190,738.50 and 414,249 is: 899,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,738.50 : 414,249 = 414,249 : x
  2. Step 2: Convert to fraction form
    190,738.50/414,249 = 414,249/x
  3. Step 3: Cross multiply
    190,738.50x = 414,249 × 414,249
  4. Step 4: Simplify right side
    190,738.50x = 171,602,234,001
  5. Step 5: Solve for x
    x = 171,602,234,001/190,738.50
  6. Step 6: Final answer
    x = 899,672.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.