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Finding the Third Proportional to 190,214.50 and 449,836

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Solution

The third proportional to 190,214.50 and 449,836 is: 1,063,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,214.50 : 449,836 = 449,836 : x
  2. Step 2: Convert to fraction form
    190,214.50/449,836 = 449,836/x
  3. Step 3: Cross multiply
    190,214.50x = 449,836 × 449,836
  4. Step 4: Simplify right side
    190,214.50x = 202,352,426,896
  5. Step 5: Solve for x
    x = 202,352,426,896/190,214.50
  6. Step 6: Final answer
    x = 1,063,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.