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Finding the Third Proportional to 190,917 and 419,969.81

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Solution

The third proportional to 190,917 and 419,969.81 is: 923,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,917 : 419,969.81 = 419,969.81 : x
  2. Step 2: Convert to fraction form
    190,917/419,969.81 = 419,969.81/x
  3. Step 3: Cross multiply
    190,917x = 419,969.81 × 419,969.81
  4. Step 4: Simplify right side
    190,917x = 176,374,643,411.29
  5. Step 5: Solve for x
    x = 176,374,643,411.29/190,917
  6. Step 6: Final answer
    x = 923,828.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.