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Finding the Third Proportional to 128,787.25 and 280,455.25

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Solution

The third proportional to 128,787.25 and 280,455.25 is: 610,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,787.25 : 280,455.25 = 280,455.25 : x
  2. Step 2: Convert to fraction form
    128,787.25/280,455.25 = 280,455.25/x
  3. Step 3: Cross multiply
    128,787.25x = 280,455.25 × 280,455.25
  4. Step 4: Simplify right side
    128,787.25x = 78,655,147,252.56
  5. Step 5: Solve for x
    x = 78,655,147,252.56/128,787.25
  6. Step 6: Final answer
    x = 610,737.07

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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.