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Finding the Third Proportional to 183,971.25 and 269,898.75

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Solution

The third proportional to 183,971.25 and 269,898.75 is: 395,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,971.25 : 269,898.75 = 269,898.75 : x
  2. Step 2: Convert to fraction form
    183,971.25/269,898.75 = 269,898.75/x
  3. Step 3: Cross multiply
    183,971.25x = 269,898.75 × 269,898.75
  4. Step 4: Simplify right side
    183,971.25x = 72,845,335,251.56
  5. Step 5: Solve for x
    x = 72,845,335,251.56/183,971.25
  6. Step 6: Final answer
    x = 395,960.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.