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Finding the Third Proportional to 202,232 and 440,137

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Solution

The third proportional to 202,232 and 440,137 is: 957,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232 : 440,137 = 440,137 : x
  2. Step 2: Convert to fraction form
    202,232/440,137 = 440,137/x
  3. Step 3: Cross multiply
    202,232x = 440,137 × 440,137
  4. Step 4: Simplify right side
    202,232x = 193,720,578,769
  5. Step 5: Solve for x
    x = 193,720,578,769/202,232
  6. Step 6: Final answer
    x = 957,912.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.