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Finding the Third Proportional to 190,836 and 252,324

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Solution

The third proportional to 190,836 and 252,324 is: 333,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,836 : 252,324 = 252,324 : x
  2. Step 2: Convert to fraction form
    190,836/252,324 = 252,324/x
  3. Step 3: Cross multiply
    190,836x = 252,324 × 252,324
  4. Step 4: Simplify right side
    190,836x = 63,667,400,976
  5. Step 5: Solve for x
    x = 63,667,400,976/190,836
  6. Step 6: Final answer
    x = 333,623.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.