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Finding the Third Proportional to 108,074.25 and 232,787.25

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Solution

The third proportional to 108,074.25 and 232,787.25 is: 501,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,074.25 : 232,787.25 = 232,787.25 : x
  2. Step 2: Convert to fraction form
    108,074.25/232,787.25 = 232,787.25/x
  3. Step 3: Cross multiply
    108,074.25x = 232,787.25 × 232,787.25
  4. Step 4: Simplify right side
    108,074.25x = 54,189,903,762.56
  5. Step 5: Solve for x
    x = 54,189,903,762.56/108,074.25
  6. Step 6: Final answer
    x = 501,413.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.