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Finding the Third Proportional to 183,710.25 and 269,273.25

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Solution

The third proportional to 183,710.25 and 269,273.25 is: 394,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,710.25 : 269,273.25 = 269,273.25 : x
  2. Step 2: Convert to fraction form
    183,710.25/269,273.25 = 269,273.25/x
  3. Step 3: Cross multiply
    183,710.25x = 269,273.25 × 269,273.25
  4. Step 4: Simplify right side
    183,710.25x = 72,508,083,165.56
  5. Step 5: Solve for x
    x = 72,508,083,165.56/183,710.25
  6. Step 6: Final answer
    x = 394,687.19

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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.