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Finding the Third Proportional to 181,865.25 and 424,824.75

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Solution

The third proportional to 181,865.25 and 424,824.75 is: 992,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,865.25 : 424,824.75 = 424,824.75 : x
  2. Step 2: Convert to fraction form
    181,865.25/424,824.75 = 424,824.75/x
  3. Step 3: Cross multiply
    181,865.25x = 424,824.75 × 424,824.75
  4. Step 4: Simplify right side
    181,865.25x = 180,476,068,212.56
  5. Step 5: Solve for x
    x = 180,476,068,212.56/181,865.25
  6. Step 6: Final answer
    x = 992,361.48

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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.