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Finding the Third Proportional to 115,261.73 and 269,217.42

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Solution

The third proportional to 115,261.73 and 269,217.42 is: 628,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,261.73 : 269,217.42 = 269,217.42 : x
  2. Step 2: Convert to fraction form
    115,261.73/269,217.42 = 269,217.42/x
  3. Step 3: Cross multiply
    115,261.73x = 269,217.42 × 269,217.42
  4. Step 4: Simplify right side
    115,261.73x = 72,478,020,241.02
  5. Step 5: Solve for x
    x = 72,478,020,241.02/115,261.73
  6. Step 6: Final answer
    x = 628,812.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.