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Finding the Third Proportional to 172,596.75 and 376,571.25

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Solution

The third proportional to 172,596.75 and 376,571.25 is: 821,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,596.75 : 376,571.25 = 376,571.25 : x
  2. Step 2: Convert to fraction form
    172,596.75/376,571.25 = 376,571.25/x
  3. Step 3: Cross multiply
    172,596.75x = 376,571.25 × 376,571.25
  4. Step 4: Simplify right side
    172,596.75x = 141,805,906,326.56
  5. Step 5: Solve for x
    x = 141,805,906,326.56/172,596.75
  6. Step 6: Final answer
    x = 821,602.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.