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Finding the Third Proportional to 236,450.25 and 331,787.25

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Solution

The third proportional to 236,450.25 and 331,787.25 is: 465,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,450.25 : 331,787.25 = 331,787.25 : x
  2. Step 2: Convert to fraction form
    236,450.25/331,787.25 = 331,787.25/x
  3. Step 3: Cross multiply
    236,450.25x = 331,787.25 × 331,787.25
  4. Step 4: Simplify right side
    236,450.25x = 110,082,779,262.56
  5. Step 5: Solve for x
    x = 110,082,779,262.56/236,450.25
  6. Step 6: Final answer
    x = 465,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.