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Finding the Third Proportional to 236,787.75 and 361,091.25

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Solution

The third proportional to 236,787.75 and 361,091.25 is: 550,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,787.75 : 361,091.25 = 361,091.25 : x
  2. Step 2: Convert to fraction form
    236,787.75/361,091.25 = 361,091.25/x
  3. Step 3: Cross multiply
    236,787.75x = 361,091.25 × 361,091.25
  4. Step 4: Simplify right side
    236,787.75x = 130,386,890,826.56
  5. Step 5: Solve for x
    x = 130,386,890,826.56/236,787.75
  6. Step 6: Final answer
    x = 550,648.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.